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Finding the Third Proportional to 24,763 and 38,360

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Solution

The third proportional to 24,763 and 38,360 is: 59,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,763 : 38,360 = 38,360 : x
  2. Step 2: Convert to fraction form
    24,763/38,360 = 38,360/x
  3. Step 3: Cross multiply
    24,763x = 38,360 × 38,360
  4. Step 4: Simplify right side
    24,763x = 1,471,489,600
  5. Step 5: Solve for x
    x = 1,471,489,600/24,763
  6. Step 6: Final answer
    x = 59,422.91

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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.