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Finding the Third Proportional to 10,624 and 15,974

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Solution

The third proportional to 10,624 and 15,974 is: 24,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624 : 15,974 = 15,974 : x
  2. Step 2: Convert to fraction form
    10,624/15,974 = 15,974/x
  3. Step 3: Cross multiply
    10,624x = 15,974 × 15,974
  4. Step 4: Simplify right side
    10,624x = 255,168,676
  5. Step 5: Solve for x
    x = 255,168,676/10,624
  6. Step 6: Final answer
    x = 24,018.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.