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Finding the Third Proportional to 43,125.50 and 65,417.75

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Solution

The third proportional to 43,125.50 and 65,417.75 is: 99,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,125.50 : 65,417.75 = 65,417.75 : x
  2. Step 2: Convert to fraction form
    43,125.50/65,417.75 = 65,417.75/x
  3. Step 3: Cross multiply
    43,125.50x = 65,417.75 × 65,417.75
  4. Step 4: Simplify right side
    43,125.50x = 4,279,482,015.06
  5. Step 5: Solve for x
    x = 4,279,482,015.06/43,125.50
  6. Step 6: Final answer
    x = 99,233.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.