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Finding the Third Proportional to 7,522 and 9,983

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Solution

The third proportional to 7,522 and 9,983 is: 13,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522 : 9,983 = 9,983 : x
  2. Step 2: Convert to fraction form
    7,522/9,983 = 9,983/x
  3. Step 3: Cross multiply
    7,522x = 9,983 × 9,983
  4. Step 4: Simplify right side
    7,522x = 99,660,289
  5. Step 5: Solve for x
    x = 99,660,289/7,522
  6. Step 6: Final answer
    x = 13,249.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.