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Finding the Third Proportional to 39,468.52 and 51,206.55

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Solution

The third proportional to 39,468.52 and 51,206.55 is: 66,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,468.52 : 51,206.55 = 51,206.55 : x
  2. Step 2: Convert to fraction form
    39,468.52/51,206.55 = 51,206.55/x
  3. Step 3: Cross multiply
    39,468.52x = 51,206.55 × 51,206.55
  4. Step 4: Simplify right side
    39,468.52x = 2,622,111,242.96
  5. Step 5: Solve for x
    x = 2,622,111,242.96/39,468.52
  6. Step 6: Final answer
    x = 66,435.52

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.