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Finding the Third Proportional to 26,850 and 60,662

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Solution

The third proportional to 26,850 and 60,662 is: 137,053.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,850 : 60,662 = 60,662 : x
  2. Step 2: Convert to fraction form
    26,850/60,662 = 60,662/x
  3. Step 3: Cross multiply
    26,850x = 60,662 × 60,662
  4. Step 4: Simplify right side
    26,850x = 3,679,878,244
  5. Step 5: Solve for x
    x = 3,679,878,244/26,850
  6. Step 6: Final answer
    x = 137,053.19

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.