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Finding the Third Proportional to 6,381.56 and 9,712.69

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Solution

The third proportional to 6,381.56 and 9,712.69 is: 14,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.56 : 9,712.69 = 9,712.69 : x
  2. Step 2: Convert to fraction form
    6,381.56/9,712.69 = 9,712.69/x
  3. Step 3: Cross multiply
    6,381.56x = 9,712.69 × 9,712.69
  4. Step 4: Simplify right side
    6,381.56x = 94,336,298.47
  5. Step 5: Solve for x
    x = 94,336,298.47/6,381.56
  6. Step 6: Final answer
    x = 14,782.63

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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.