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Finding the Third Proportional to 26,991 and 63,042

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Solution

The third proportional to 26,991 and 63,042 is: 147,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,991 : 63,042 = 63,042 : x
  2. Step 2: Convert to fraction form
    26,991/63,042 = 63,042/x
  3. Step 3: Cross multiply
    26,991x = 63,042 × 63,042
  4. Step 4: Simplify right side
    26,991x = 3,974,293,764
  5. Step 5: Solve for x
    x = 3,974,293,764/26,991
  6. Step 6: Final answer
    x = 147,245.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.