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Finding the Third Proportional to 22,285.13 and 25,687.13

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Solution

The third proportional to 22,285.13 and 25,687.13 is: 29,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,285.13 : 25,687.13 = 25,687.13 : x
  2. Step 2: Convert to fraction form
    22,285.13/25,687.13 = 25,687.13/x
  3. Step 3: Cross multiply
    22,285.13x = 25,687.13 × 25,687.13
  4. Step 4: Simplify right side
    22,285.13x = 659,828,390.77
  5. Step 5: Solve for x
    x = 659,828,390.77/22,285.13
  6. Step 6: Final answer
    x = 29,608.47

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.