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Finding the Third Proportional to 19,871 and 42,111

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Solution

The third proportional to 19,871 and 42,111 is: 89,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871 : 42,111 = 42,111 : x
  2. Step 2: Convert to fraction form
    19,871/42,111 = 42,111/x
  3. Step 3: Cross multiply
    19,871x = 42,111 × 42,111
  4. Step 4: Simplify right side
    19,871x = 1,773,336,321
  5. Step 5: Solve for x
    x = 1,773,336,321/19,871
  6. Step 6: Final answer
    x = 89,242.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.