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Finding the Third Proportional to 38,312 and 58,874

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Solution

The third proportional to 38,312 and 58,874 is: 90,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,312 : 58,874 = 58,874 : x
  2. Step 2: Convert to fraction form
    38,312/58,874 = 58,874/x
  3. Step 3: Cross multiply
    38,312x = 58,874 × 58,874
  4. Step 4: Simplify right side
    38,312x = 3,466,147,876
  5. Step 5: Solve for x
    x = 3,466,147,876/38,312
  6. Step 6: Final answer
    x = 90,471.60

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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.