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Finding the Third Proportional to 38,863 and 61,798

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Solution

The third proportional to 38,863 and 61,798 is: 98,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863 : 61,798 = 61,798 : x
  2. Step 2: Convert to fraction form
    38,863/61,798 = 61,798/x
  3. Step 3: Cross multiply
    38,863x = 61,798 × 61,798
  4. Step 4: Simplify right side
    38,863x = 3,818,992,804
  5. Step 5: Solve for x
    x = 3,818,992,804/38,863
  6. Step 6: Final answer
    x = 98,268.09

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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.