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Finding the Third Proportional to 38,862 and 61,796

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Solution

The third proportional to 38,862 and 61,796 is: 98,264.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862 : 61,796 = 61,796 : x
  2. Step 2: Convert to fraction form
    38,862/61,796 = 61,796/x
  3. Step 3: Cross multiply
    38,862x = 61,796 × 61,796
  4. Step 4: Simplify right side
    38,862x = 3,818,745,616
  5. Step 5: Solve for x
    x = 3,818,745,616/38,862
  6. Step 6: Final answer
    x = 98,264.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.