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Finding the Third Proportional to 41,871 and 56,858

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Solution

The third proportional to 41,871 and 56,858 is: 77,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,871 : 56,858 = 56,858 : x
  2. Step 2: Convert to fraction form
    41,871/56,858 = 56,858/x
  3. Step 3: Cross multiply
    41,871x = 56,858 × 56,858
  4. Step 4: Simplify right side
    41,871x = 3,232,832,164
  5. Step 5: Solve for x
    x = 3,232,832,164/41,871
  6. Step 6: Final answer
    x = 77,209.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.