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Finding the Third Proportional to 19,166 and 25,581

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Solution

The third proportional to 19,166 and 25,581 is: 34,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,166 : 25,581 = 25,581 : x
  2. Step 2: Convert to fraction form
    19,166/25,581 = 25,581/x
  3. Step 3: Cross multiply
    19,166x = 25,581 × 25,581
  4. Step 4: Simplify right side
    19,166x = 654,387,561
  5. Step 5: Solve for x
    x = 654,387,561/19,166
  6. Step 6: Final answer
    x = 34,143.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.