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Finding the Third Proportional to 24,344 and 35,940

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Solution

The third proportional to 24,344 and 35,940 is: 53,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,344 : 35,940 = 35,940 : x
  2. Step 2: Convert to fraction form
    24,344/35,940 = 35,940/x
  3. Step 3: Cross multiply
    24,344x = 35,940 × 35,940
  4. Step 4: Simplify right side
    24,344x = 1,291,683,600
  5. Step 5: Solve for x
    x = 1,291,683,600/24,344
  6. Step 6: Final answer
    x = 53,059.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.