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Finding the Third Proportional to 52,003.50 and 74,313.75

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Solution

The third proportional to 52,003.50 and 74,313.75 is: 106,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,003.50 : 74,313.75 = 74,313.75 : x
  2. Step 2: Convert to fraction form
    52,003.50/74,313.75 = 74,313.75/x
  3. Step 3: Cross multiply
    52,003.50x = 74,313.75 × 74,313.75
  4. Step 4: Simplify right side
    52,003.50x = 5,522,533,439.06
  5. Step 5: Solve for x
    x = 5,522,533,439.06/52,003.50
  6. Step 6: Final answer
    x = 106,195.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.