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Finding the Third Proportional to 21,909.75 and 24,006.75

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Solution

The third proportional to 21,909.75 and 24,006.75 is: 26,304.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909.75 : 24,006.75 = 24,006.75 : x
  2. Step 2: Convert to fraction form
    21,909.75/24,006.75 = 24,006.75/x
  3. Step 3: Cross multiply
    21,909.75x = 24,006.75 × 24,006.75
  4. Step 4: Simplify right side
    21,909.75x = 576,324,045.56
  5. Step 5: Solve for x
    x = 576,324,045.56/21,909.75
  6. Step 6: Final answer
    x = 26,304.46

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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.