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Finding the Third Proportional to 15,982 and 25,019

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Solution

The third proportional to 15,982 and 25,019 is: 39,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982 : 25,019 = 25,019 : x
  2. Step 2: Convert to fraction form
    15,982/25,019 = 25,019/x
  3. Step 3: Cross multiply
    15,982x = 25,019 × 25,019
  4. Step 4: Simplify right side
    15,982x = 625,950,361
  5. Step 5: Solve for x
    x = 625,950,361/15,982
  6. Step 6: Final answer
    x = 39,165.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.