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Finding the Third Proportional to 6,496.31 and 9,802.97

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Solution

The third proportional to 6,496.31 and 9,802.97 is: 14,792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.31 : 9,802.97 = 9,802.97 : x
  2. Step 2: Convert to fraction form
    6,496.31/9,802.97 = 9,802.97/x
  3. Step 3: Cross multiply
    6,496.31x = 9,802.97 × 9,802.97
  4. Step 4: Simplify right side
    6,496.31x = 96,098,196.31
  5. Step 5: Solve for x
    x = 96,098,196.31/6,496.31
  6. Step 6: Final answer
    x = 14,792.73

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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.