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Finding the Third Proportional to 8,780.91 and 12,577.78

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Solution

The third proportional to 8,780.91 and 12,577.78 is: 18,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,780.91 : 12,577.78 = 12,577.78 : x
  2. Step 2: Convert to fraction form
    8,780.91/12,577.78 = 12,577.78/x
  3. Step 3: Cross multiply
    8,780.91x = 12,577.78 × 12,577.78
  4. Step 4: Simplify right side
    8,780.91x = 158,200,581.17
  5. Step 5: Solve for x
    x = 158,200,581.17/8,780.91
  6. Step 6: Final answer
    x = 18,016.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.