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Finding the Third Proportional to 5,691 and 9,036

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Solution

The third proportional to 5,691 and 9,036 is: 14,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691 : 9,036 = 9,036 : x
  2. Step 2: Convert to fraction form
    5,691/9,036 = 9,036/x
  3. Step 3: Cross multiply
    5,691x = 9,036 × 9,036
  4. Step 4: Simplify right side
    5,691x = 81,649,296
  5. Step 5: Solve for x
    x = 81,649,296/5,691
  6. Step 6: Final answer
    x = 14,347.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.