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Finding the Third Proportional to 39,502.69 and 53,103.09

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Solution

The third proportional to 39,502.69 and 53,103.09 is: 71,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,502.69 : 53,103.09 = 53,103.09 : x
  2. Step 2: Convert to fraction form
    39,502.69/53,103.09 = 53,103.09/x
  3. Step 3: Cross multiply
    39,502.69x = 53,103.09 × 53,103.09
  4. Step 4: Simplify right side
    39,502.69x = 2,819,938,565.82
  5. Step 5: Solve for x
    x = 2,819,938,565.82/39,502.69
  6. Step 6: Final answer
    x = 71,385.99

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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.