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Finding the Third Proportional to 22,442 and 47,251

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Solution

The third proportional to 22,442 and 47,251 is: 99,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442 : 47,251 = 47,251 : x
  2. Step 2: Convert to fraction form
    22,442/47,251 = 47,251/x
  3. Step 3: Cross multiply
    22,442x = 47,251 × 47,251
  4. Step 4: Simplify right side
    22,442x = 2,232,657,001
  5. Step 5: Solve for x
    x = 2,232,657,001/22,442
  6. Step 6: Final answer
    x = 99,485.65

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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.