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Finding the Third Proportional to 21,166 and 40,412

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Solution

The third proportional to 21,166 and 40,412 is: 77,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,166 : 40,412 = 40,412 : x
  2. Step 2: Convert to fraction form
    21,166/40,412 = 40,412/x
  3. Step 3: Cross multiply
    21,166x = 40,412 × 40,412
  4. Step 4: Simplify right side
    21,166x = 1,633,129,744
  5. Step 5: Solve for x
    x = 1,633,129,744/21,166
  6. Step 6: Final answer
    x = 77,158.17

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.