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Finding the Third Proportional to 10,966 and 25,750

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Solution

The third proportional to 10,966 and 25,750 is: 60,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966 : 25,750 = 25,750 : x
  2. Step 2: Convert to fraction form
    10,966/25,750 = 25,750/x
  3. Step 3: Cross multiply
    10,966x = 25,750 × 25,750
  4. Step 4: Simplify right side
    10,966x = 663,062,500
  5. Step 5: Solve for x
    x = 663,062,500/10,966
  6. Step 6: Final answer
    x = 60,465.30

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.