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Finding the Third Proportional to 1,483.41 and 2,306.11

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Solution

The third proportional to 1,483.41 and 2,306.11 is: 3,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.41 : 2,306.11 = 2,306.11 : x
  2. Step 2: Convert to fraction form
    1,483.41/2,306.11 = 2,306.11/x
  3. Step 3: Cross multiply
    1,483.41x = 2,306.11 × 2,306.11
  4. Step 4: Simplify right side
    1,483.41x = 5,318,140.45
  5. Step 5: Solve for x
    x = 5,318,140.45/1,483.41
  6. Step 6: Final answer
    x = 3,585.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.