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Finding the Third Proportional to 24,706.69 and 59,712.19

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Solution

The third proportional to 24,706.69 and 59,712.19 is: 144,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706.69 : 59,712.19 = 59,712.19 : x
  2. Step 2: Convert to fraction form
    24,706.69/59,712.19 = 59,712.19/x
  3. Step 3: Cross multiply
    24,706.69x = 59,712.19 × 59,712.19
  4. Step 4: Simplify right side
    24,706.69x = 3,565,545,336.04
  5. Step 5: Solve for x
    x = 3,565,545,336.04/24,706.69
  6. Step 6: Final answer
    x = 144,314.99

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.