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Finding the Third Proportional to 10,372 and 22,328

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Solution

The third proportional to 10,372 and 22,328 is: 48,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372 : 22,328 = 22,328 : x
  2. Step 2: Convert to fraction form
    10,372/22,328 = 22,328/x
  3. Step 3: Cross multiply
    10,372x = 22,328 × 22,328
  4. Step 4: Simplify right side
    10,372x = 498,539,584
  5. Step 5: Solve for x
    x = 498,539,584/10,372
  6. Step 6: Final answer
    x = 48,065.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.