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Finding the Third Proportional to 22,714.31 and 34,864.88

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Solution

The third proportional to 22,714.31 and 34,864.88 is: 53,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.31 : 34,864.88 = 34,864.88 : x
  2. Step 2: Convert to fraction form
    22,714.31/34,864.88 = 34,864.88/x
  3. Step 3: Cross multiply
    22,714.31x = 34,864.88 × 34,864.88
  4. Step 4: Simplify right side
    22,714.31x = 1,215,559,508.77
  5. Step 5: Solve for x
    x = 1,215,559,508.77/22,714.31
  6. Step 6: Final answer
    x = 53,515.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.