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Finding the Third Proportional to 19,882.13 and 21,957.75

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Solution

The third proportional to 19,882.13 and 21,957.75 is: 24,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.13 : 21,957.75 = 21,957.75 : x
  2. Step 2: Convert to fraction form
    19,882.13/21,957.75 = 21,957.75/x
  3. Step 3: Cross multiply
    19,882.13x = 21,957.75 × 21,957.75
  4. Step 4: Simplify right side
    19,882.13x = 482,142,785.06
  5. Step 5: Solve for x
    x = 482,142,785.06/19,882.13
  6. Step 6: Final answer
    x = 24,250.06

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.