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Finding the Third Proportional to 5,902 and 9,071

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Solution

The third proportional to 5,902 and 9,071 is: 13,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902 : 9,071 = 9,071 : x
  2. Step 2: Convert to fraction form
    5,902/9,071 = 9,071/x
  3. Step 3: Cross multiply
    5,902x = 9,071 × 9,071
  4. Step 4: Simplify right side
    5,902x = 82,283,041
  5. Step 5: Solve for x
    x = 82,283,041/5,902
  6. Step 6: Final answer
    x = 13,941.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.