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Finding the Third Proportional to 12,502.69 and 27,329.06

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Solution

The third proportional to 12,502.69 and 27,329.06 is: 59,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.69 : 27,329.06 = 27,329.06 : x
  2. Step 2: Convert to fraction form
    12,502.69/27,329.06 = 27,329.06/x
  3. Step 3: Cross multiply
    12,502.69x = 27,329.06 × 27,329.06
  4. Step 4: Simplify right side
    12,502.69x = 746,877,657.13
  5. Step 5: Solve for x
    x = 746,877,657.13/12,502.69
  6. Step 6: Final answer
    x = 59,737.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.