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Finding the Third Proportional to 2,870.75 and 4,579.38

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Solution

The third proportional to 2,870.75 and 4,579.38 is: 7,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.75 : 4,579.38 = 4,579.38 : x
  2. Step 2: Convert to fraction form
    2,870.75/4,579.38 = 4,579.38/x
  3. Step 3: Cross multiply
    2,870.75x = 4,579.38 × 4,579.38
  4. Step 4: Simplify right side
    2,870.75x = 20,970,675.39
  5. Step 5: Solve for x
    x = 20,970,675.39/2,870.75
  6. Step 6: Final answer
    x = 7,304.95

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.