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Finding the Third Proportional to 4,092 and 4,461

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Solution

The third proportional to 4,092 and 4,461 is: 4,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092 : 4,461 = 4,461 : x
  2. Step 2: Convert to fraction form
    4,092/4,461 = 4,461/x
  3. Step 3: Cross multiply
    4,092x = 4,461 × 4,461
  4. Step 4: Simplify right side
    4,092x = 19,900,521
  5. Step 5: Solve for x
    x = 19,900,521/4,092
  6. Step 6: Final answer
    x = 4,863.27

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.