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Finding the Third Proportional to 6,540.75 and 9,838.13

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Solution

The third proportional to 6,540.75 and 9,838.13 is: 14,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.75 : 9,838.13 = 9,838.13 : x
  2. Step 2: Convert to fraction form
    6,540.75/9,838.13 = 9,838.13/x
  3. Step 3: Cross multiply
    6,540.75x = 9,838.13 × 9,838.13
  4. Step 4: Simplify right side
    6,540.75x = 96,788,703.52
  5. Step 5: Solve for x
    x = 96,788,703.52/6,540.75
  6. Step 6: Final answer
    x = 14,797.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.