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Finding the Third Proportional to 6,540 and 11,724

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Solution

The third proportional to 6,540 and 11,724 is: 21,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540 : 11,724 = 11,724 : x
  2. Step 2: Convert to fraction form
    6,540/11,724 = 11,724/x
  3. Step 3: Cross multiply
    6,540x = 11,724 × 11,724
  4. Step 4: Simplify right side
    6,540x = 137,452,176
  5. Step 5: Solve for x
    x = 137,452,176/6,540
  6. Step 6: Final answer
    x = 21,017.15

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.