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Finding the Third Proportional to 2,333.81 and 3,432.38

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Solution

The third proportional to 2,333.81 and 3,432.38 is: 5,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.81 : 3,432.38 = 3,432.38 : x
  2. Step 2: Convert to fraction form
    2,333.81/3,432.38 = 3,432.38/x
  3. Step 3: Cross multiply
    2,333.81x = 3,432.38 × 3,432.38
  4. Step 4: Simplify right side
    2,333.81x = 11,781,198.14
  5. Step 5: Solve for x
    x = 11,781,198.14/2,333.81
  6. Step 6: Final answer
    x = 5,048.05

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.