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Finding the Third Proportional to 13,397.51 and 29,024.74

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Solution

The third proportional to 13,397.51 and 29,024.74 is: 62,879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.51 : 29,024.74 = 29,024.74 : x
  2. Step 2: Convert to fraction form
    13,397.51/29,024.74 = 29,024.74/x
  3. Step 3: Cross multiply
    13,397.51x = 29,024.74 × 29,024.74
  4. Step 4: Simplify right side
    13,397.51x = 842,435,318.92
  5. Step 5: Solve for x
    x = 842,435,318.92/13,397.51
  6. Step 6: Final answer
    x = 62,879.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.