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Finding the Third Proportional to 7,972 and 10,438

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Solution

The third proportional to 7,972 and 10,438 is: 13,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972 : 10,438 = 10,438 : x
  2. Step 2: Convert to fraction form
    7,972/10,438 = 10,438/x
  3. Step 3: Cross multiply
    7,972x = 10,438 × 10,438
  4. Step 4: Simplify right side
    7,972x = 108,951,844
  5. Step 5: Solve for x
    x = 108,951,844/7,972
  6. Step 6: Final answer
    x = 13,666.81

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.