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Finding the Third Proportional to 11,350 and 24,344

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Solution

The third proportional to 11,350 and 24,344 is: 52,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,350 : 24,344 = 24,344 : x
  2. Step 2: Convert to fraction form
    11,350/24,344 = 24,344/x
  3. Step 3: Cross multiply
    11,350x = 24,344 × 24,344
  4. Step 4: Simplify right side
    11,350x = 592,630,336
  5. Step 5: Solve for x
    x = 592,630,336/11,350
  6. Step 6: Final answer
    x = 52,214.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.