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Finding the Third Proportional to 3,648.80 and 7,935.47

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Solution

The third proportional to 3,648.80 and 7,935.47 is: 17,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.80 : 7,935.47 = 7,935.47 : x
  2. Step 2: Convert to fraction form
    3,648.80/7,935.47 = 7,935.47/x
  3. Step 3: Cross multiply
    3,648.80x = 7,935.47 × 7,935.47
  4. Step 4: Simplify right side
    3,648.80x = 62,971,664.28
  5. Step 5: Solve for x
    x = 62,971,664.28/3,648.80
  6. Step 6: Final answer
    x = 17,258.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.