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Finding the Third Proportional to 24,712.69 and 38,297.95

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Solution

The third proportional to 24,712.69 and 38,297.95 is: 59,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.69 : 38,297.95 = 38,297.95 : x
  2. Step 2: Convert to fraction form
    24,712.69/38,297.95 = 38,297.95/x
  3. Step 3: Cross multiply
    24,712.69x = 38,297.95 × 38,297.95
  4. Step 4: Simplify right side
    24,712.69x = 1,466,733,213.56
  5. Step 5: Solve for x
    x = 1,466,733,213.56/24,712.69
  6. Step 6: Final answer
    x = 59,351.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.