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Finding the Third Proportional to 29,438.44 and 63,615.38

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Solution

The third proportional to 29,438.44 and 63,615.38 is: 137,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,438.44 : 63,615.38 = 63,615.38 : x
  2. Step 2: Convert to fraction form
    29,438.44/63,615.38 = 63,615.38/x
  3. Step 3: Cross multiply
    29,438.44x = 63,615.38 × 63,615.38
  4. Step 4: Simplify right side
    29,438.44x = 4,046,915,936.39
  5. Step 5: Solve for x
    x = 4,046,915,936.39/29,438.44
  6. Step 6: Final answer
    x = 137,470.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.