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Finding the Third Proportional to 5,842 and 9,071

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Solution

The third proportional to 5,842 and 9,071 is: 14,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842 : 9,071 = 9,071 : x
  2. Step 2: Convert to fraction form
    5,842/9,071 = 9,071/x
  3. Step 3: Cross multiply
    5,842x = 9,071 × 9,071
  4. Step 4: Simplify right side
    5,842x = 82,283,041
  5. Step 5: Solve for x
    x = 82,283,041/5,842
  6. Step 6: Final answer
    x = 14,084.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.