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Finding the Third Proportional to 6,974.81 and 15,331.69

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Solution

The third proportional to 6,974.81 and 15,331.69 is: 33,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.81 : 15,331.69 = 15,331.69 : x
  2. Step 2: Convert to fraction form
    6,974.81/15,331.69 = 15,331.69/x
  3. Step 3: Cross multiply
    6,974.81x = 15,331.69 × 15,331.69
  4. Step 4: Simplify right side
    6,974.81x = 235,060,641.60
  5. Step 5: Solve for x
    x = 235,060,641.60/6,974.81
  6. Step 6: Final answer
    x = 33,701.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.