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Finding the Third Proportional to 10,348 and 24,170

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Solution

The third proportional to 10,348 and 24,170 is: 56,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348 : 24,170 = 24,170 : x
  2. Step 2: Convert to fraction form
    10,348/24,170 = 24,170/x
  3. Step 3: Cross multiply
    10,348x = 24,170 × 24,170
  4. Step 4: Simplify right side
    10,348x = 584,188,900
  5. Step 5: Solve for x
    x = 584,188,900/10,348
  6. Step 6: Final answer
    x = 56,454.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.