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Finding the Third Proportional to 2,433.38 and 3,920.06

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Solution

The third proportional to 2,433.38 and 3,920.06 is: 6,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.38 : 3,920.06 = 3,920.06 : x
  2. Step 2: Convert to fraction form
    2,433.38/3,920.06 = 3,920.06/x
  3. Step 3: Cross multiply
    2,433.38x = 3,920.06 × 3,920.06
  4. Step 4: Simplify right side
    2,433.38x = 15,366,890.00
  5. Step 5: Solve for x
    x = 15,366,890.00/2,433.38
  6. Step 6: Final answer
    x = 6,315.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.