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Finding the Third Proportional to 6,140.81 and 9,347.91

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Solution

The third proportional to 6,140.81 and 9,347.91 is: 14,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.81 : 9,347.91 = 9,347.91 : x
  2. Step 2: Convert to fraction form
    6,140.81/9,347.91 = 9,347.91/x
  3. Step 3: Cross multiply
    6,140.81x = 9,347.91 × 9,347.91
  4. Step 4: Simplify right side
    6,140.81x = 87,383,351.26
  5. Step 5: Solve for x
    x = 87,383,351.26/6,140.81
  6. Step 6: Final answer
    x = 14,229.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.