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Finding the Third Proportional to 24,255 and 37,382

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Solution

The third proportional to 24,255 and 37,382 is: 57,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,255 : 37,382 = 37,382 : x
  2. Step 2: Convert to fraction form
    24,255/37,382 = 37,382/x
  3. Step 3: Cross multiply
    24,255x = 37,382 × 37,382
  4. Step 4: Simplify right side
    24,255x = 1,397,413,924
  5. Step 5: Solve for x
    x = 1,397,413,924/24,255
  6. Step 6: Final answer
    x = 57,613.44

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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.