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Finding the Third Proportional to 10,626 and 15,875

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Solution

The third proportional to 10,626 and 15,875 is: 23,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626 : 15,875 = 15,875 : x
  2. Step 2: Convert to fraction form
    10,626/15,875 = 15,875/x
  3. Step 3: Cross multiply
    10,626x = 15,875 × 15,875
  4. Step 4: Simplify right side
    10,626x = 252,015,625
  5. Step 5: Solve for x
    x = 252,015,625/10,626
  6. Step 6: Final answer
    x = 23,716.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.