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Finding the Third Proportional to 6,378.75 and 9,658.13

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Solution

The third proportional to 6,378.75 and 9,658.13 is: 14,623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.75 : 9,658.13 = 9,658.13 : x
  2. Step 2: Convert to fraction form
    6,378.75/9,658.13 = 9,658.13/x
  3. Step 3: Cross multiply
    6,378.75x = 9,658.13 × 9,658.13
  4. Step 4: Simplify right side
    6,378.75x = 93,279,378.52
  5. Step 5: Solve for x
    x = 93,279,378.52/6,378.75
  6. Step 6: Final answer
    x = 14,623.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.