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Finding the Third Proportional to 10,444 and 22,292

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Solution

The third proportional to 10,444 and 22,292 is: 47,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444 : 22,292 = 22,292 : x
  2. Step 2: Convert to fraction form
    10,444/22,292 = 22,292/x
  3. Step 3: Cross multiply
    10,444x = 22,292 × 22,292
  4. Step 4: Simplify right side
    10,444x = 496,933,264
  5. Step 5: Solve for x
    x = 496,933,264/10,444
  6. Step 6: Final answer
    x = 47,580.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.