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Finding the Third Proportional to 3,281.34 and 4,870.55

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Solution

The third proportional to 3,281.34 and 4,870.55 is: 7,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.34 : 4,870.55 = 4,870.55 : x
  2. Step 2: Convert to fraction form
    3,281.34/4,870.55 = 4,870.55/x
  3. Step 3: Cross multiply
    3,281.34x = 4,870.55 × 4,870.55
  4. Step 4: Simplify right side
    3,281.34x = 23,722,226.86
  5. Step 5: Solve for x
    x = 23,722,226.86/3,281.34
  6. Step 6: Final answer
    x = 7,229.42

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.