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Finding the Third Proportional to 20,347.50 and 22,359

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Solution

The third proportional to 20,347.50 and 22,359 is: 24,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.50 : 22,359 = 22,359 : x
  2. Step 2: Convert to fraction form
    20,347.50/22,359 = 22,359/x
  3. Step 3: Cross multiply
    20,347.50x = 22,359 × 22,359
  4. Step 4: Simplify right side
    20,347.50x = 499,924,881
  5. Step 5: Solve for x
    x = 499,924,881/20,347.50
  6. Step 6: Final answer
    x = 24,569.35

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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.