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Finding the Third Proportional to 22,437 and 47,445.75

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Solution

The third proportional to 22,437 and 47,445.75 is: 100,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,437 : 47,445.75 = 47,445.75 : x
  2. Step 2: Convert to fraction form
    22,437/47,445.75 = 47,445.75/x
  3. Step 3: Cross multiply
    22,437x = 47,445.75 × 47,445.75
  4. Step 4: Simplify right side
    22,437x = 2,251,099,193.06
  5. Step 5: Solve for x
    x = 2,251,099,193.06/22,437
  6. Step 6: Final answer
    x = 100,329.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.