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Finding the Third Proportional to 42,826 and 60,871

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Solution

The third proportional to 42,826 and 60,871 is: 86,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,826 : 60,871 = 60,871 : x
  2. Step 2: Convert to fraction form
    42,826/60,871 = 60,871/x
  3. Step 3: Cross multiply
    42,826x = 60,871 × 60,871
  4. Step 4: Simplify right side
    42,826x = 3,705,278,641
  5. Step 5: Solve for x
    x = 3,705,278,641/42,826
  6. Step 6: Final answer
    x = 86,519.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.