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Finding the Third Proportional to 8,044.31 and 12,582.84

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Solution

The third proportional to 8,044.31 and 12,582.84 is: 19,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.31 : 12,582.84 = 12,582.84 : x
  2. Step 2: Convert to fraction form
    8,044.31/12,582.84 = 12,582.84/x
  3. Step 3: Cross multiply
    8,044.31x = 12,582.84 × 12,582.84
  4. Step 4: Simplify right side
    8,044.31x = 158,327,956.84
  5. Step 5: Solve for x
    x = 158,327,956.84/8,044.31
  6. Step 6: Final answer
    x = 19,681.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.