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Finding the Third Proportional to 40,803.75 and 52,022.25

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Solution

The third proportional to 40,803.75 and 52,022.25 is: 66,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,803.75 : 52,022.25 = 52,022.25 : x
  2. Step 2: Convert to fraction form
    40,803.75/52,022.25 = 52,022.25/x
  3. Step 3: Cross multiply
    40,803.75x = 52,022.25 × 52,022.25
  4. Step 4: Simplify right side
    40,803.75x = 2,706,314,495.06
  5. Step 5: Solve for x
    x = 2,706,314,495.06/40,803.75
  6. Step 6: Final answer
    x = 66,325.14

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.