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Finding the Third Proportional to 5,902 and 9,461

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Solution

The third proportional to 5,902 and 9,461 is: 15,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902 : 9,461 = 9,461 : x
  2. Step 2: Convert to fraction form
    5,902/9,461 = 9,461/x
  3. Step 3: Cross multiply
    5,902x = 9,461 × 9,461
  4. Step 4: Simplify right side
    5,902x = 89,510,521
  5. Step 5: Solve for x
    x = 89,510,521/5,902
  6. Step 6: Final answer
    x = 15,166.13

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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.