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Finding the Third Proportional to 5,292 and 7,462

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Solution

The third proportional to 5,292 and 7,462 is: 10,521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292 : 7,462 = 7,462 : x
  2. Step 2: Convert to fraction form
    5,292/7,462 = 7,462/x
  3. Step 3: Cross multiply
    5,292x = 7,462 × 7,462
  4. Step 4: Simplify right side
    5,292x = 55,681,444
  5. Step 5: Solve for x
    x = 55,681,444/5,292
  6. Step 6: Final answer
    x = 10,521.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.