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Finding the Third Proportional to 24,348 and 37,824

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Solution

The third proportional to 24,348 and 37,824 is: 58,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348 : 37,824 = 37,824 : x
  2. Step 2: Convert to fraction form
    24,348/37,824 = 37,824/x
  3. Step 3: Cross multiply
    24,348x = 37,824 × 37,824
  4. Step 4: Simplify right side
    24,348x = 1,430,654,976
  5. Step 5: Solve for x
    x = 1,430,654,976/24,348
  6. Step 6: Final answer
    x = 58,758.62

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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.