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Finding the Third Proportional to 5,692 and 9,122

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Solution

The third proportional to 5,692 and 9,122 is: 14,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692 : 9,122 = 9,122 : x
  2. Step 2: Convert to fraction form
    5,692/9,122 = 9,122/x
  3. Step 3: Cross multiply
    5,692x = 9,122 × 9,122
  4. Step 4: Simplify right side
    5,692x = 83,210,884
  5. Step 5: Solve for x
    x = 83,210,884/5,692
  6. Step 6: Final answer
    x = 14,618.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.