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Finding the Third Proportional to 22,527 and 31,687.88

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Solution

The third proportional to 22,527 and 31,687.88 is: 44,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527 : 31,687.88 = 31,687.88 : x
  2. Step 2: Convert to fraction form
    22,527/31,687.88 = 31,687.88/x
  3. Step 3: Cross multiply
    22,527x = 31,687.88 × 31,687.88
  4. Step 4: Simplify right side
    22,527x = 1,004,121,422.02
  5. Step 5: Solve for x
    x = 1,004,121,422.02/22,527
  6. Step 6: Final answer
    x = 44,574.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.