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Finding the Third Proportional to 29,666.25 and 39,628.69

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Solution

The third proportional to 29,666.25 and 39,628.69 is: 52,936.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,666.25 : 39,628.69 = 39,628.69 : x
  2. Step 2: Convert to fraction form
    29,666.25/39,628.69 = 39,628.69/x
  3. Step 3: Cross multiply
    29,666.25x = 39,628.69 × 39,628.69
  4. Step 4: Simplify right side
    29,666.25x = 1,570,432,872.97
  5. Step 5: Solve for x
    x = 1,570,432,872.97/29,666.25
  6. Step 6: Final answer
    x = 52,936.68

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.