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Finding the Third Proportional to 6,502.15 and 9,800.68

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Solution

The third proportional to 6,502.15 and 9,800.68 is: 14,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.15 : 9,800.68 = 9,800.68 : x
  2. Step 2: Convert to fraction form
    6,502.15/9,800.68 = 9,800.68/x
  3. Step 3: Cross multiply
    6,502.15x = 9,800.68 × 9,800.68
  4. Step 4: Simplify right side
    6,502.15x = 96,053,398.90
  5. Step 5: Solve for x
    x = 96,053,398.90/6,502.15
  6. Step 6: Final answer
    x = 14,772.56

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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.