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Finding the Third Proportional to 24,272 and 37,410

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Solution

The third proportional to 24,272 and 37,410 is: 57,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,272 : 37,410 = 37,410 : x
  2. Step 2: Convert to fraction form
    24,272/37,410 = 37,410/x
  3. Step 3: Cross multiply
    24,272x = 37,410 × 37,410
  4. Step 4: Simplify right side
    24,272x = 1,399,508,100
  5. Step 5: Solve for x
    x = 1,399,508,100/24,272
  6. Step 6: Final answer
    x = 57,659.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.