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Finding the Third Proportional to 24,148.13 and 37,314

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Solution

The third proportional to 24,148.13 and 37,314 is: 57,658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148.13 : 37,314 = 37,314 : x
  2. Step 2: Convert to fraction form
    24,148.13/37,314 = 37,314/x
  3. Step 3: Cross multiply
    24,148.13x = 37,314 × 37,314
  4. Step 4: Simplify right side
    24,148.13x = 1,392,334,596
  5. Step 5: Solve for x
    x = 1,392,334,596/24,148.13
  6. Step 6: Final answer
    x = 57,658.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.