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Finding the Third Proportional to 38,862 and 83,386

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Solution

The third proportional to 38,862 and 83,386 is: 178,920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862 : 83,386 = 83,386 : x
  2. Step 2: Convert to fraction form
    38,862/83,386 = 83,386/x
  3. Step 3: Cross multiply
    38,862x = 83,386 × 83,386
  4. Step 4: Simplify right side
    38,862x = 6,953,224,996
  5. Step 5: Solve for x
    x = 6,953,224,996/38,862
  6. Step 6: Final answer
    x = 178,920.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.