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Finding the Third Proportional to 6,498.66 and 10,330.17

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Solution

The third proportional to 6,498.66 and 10,330.17 is: 16,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.66 : 10,330.17 = 10,330.17 : x
  2. Step 2: Convert to fraction form
    6,498.66/10,330.17 = 10,330.17/x
  3. Step 3: Cross multiply
    6,498.66x = 10,330.17 × 10,330.17
  4. Step 4: Simplify right side
    6,498.66x = 106,712,450.97
  5. Step 5: Solve for x
    x = 106,712,450.97/6,498.66
  6. Step 6: Final answer
    x = 16,420.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.