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Finding the Third Proportional to 12,577.78 and 22,285.13

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Solution

The third proportional to 12,577.78 and 22,285.13 is: 39,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.78 : 22,285.13 = 22,285.13 : x
  2. Step 2: Convert to fraction form
    12,577.78/22,285.13 = 22,285.13/x
  3. Step 3: Cross multiply
    12,577.78x = 22,285.13 × 22,285.13
  4. Step 4: Simplify right side
    12,577.78x = 496,626,796.27
  5. Step 5: Solve for x
    x = 496,626,796.27/12,577.78
  6. Step 6: Final answer
    x = 39,484.45

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.