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Finding the Third Proportional to 22,204.50 and 47,569.50

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Solution

The third proportional to 22,204.50 and 47,569.50 is: 101,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,204.50 : 47,569.50 = 47,569.50 : x
  2. Step 2: Convert to fraction form
    22,204.50/47,569.50 = 47,569.50/x
  3. Step 3: Cross multiply
    22,204.50x = 47,569.50 × 47,569.50
  4. Step 4: Simplify right side
    22,204.50x = 2,262,857,330.25
  5. Step 5: Solve for x
    x = 2,262,857,330.25/22,204.50
  6. Step 6: Final answer
    x = 101,909.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.