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Finding the Third Proportional to 24,612.19 and 38,149.31

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Solution

The third proportional to 24,612.19 and 38,149.31 is: 59,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,612.19 : 38,149.31 = 38,149.31 : x
  2. Step 2: Convert to fraction form
    24,612.19/38,149.31 = 38,149.31/x
  3. Step 3: Cross multiply
    24,612.19x = 38,149.31 × 38,149.31
  4. Step 4: Simplify right side
    24,612.19x = 1,455,370,044.22
  5. Step 5: Solve for x
    x = 1,455,370,044.22/24,612.19
  6. Step 6: Final answer
    x = 59,132.09

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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.