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Finding the Third Proportional to 3,815.54 and 8,248.55

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Solution

The third proportional to 3,815.54 and 8,248.55 is: 17,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.54 : 8,248.55 = 8,248.55 : x
  2. Step 2: Convert to fraction form
    3,815.54/8,248.55 = 8,248.55/x
  3. Step 3: Cross multiply
    3,815.54x = 8,248.55 × 8,248.55
  4. Step 4: Simplify right side
    3,815.54x = 68,038,622.21
  5. Step 5: Solve for x
    x = 68,038,622.21/3,815.54
  6. Step 6: Final answer
    x = 17,831.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.