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Finding the Third Proportional to 23,433.38 and 36,294.38

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Solution

The third proportional to 23,433.38 and 36,294.38 is: 56,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,433.38 : 36,294.38 = 36,294.38 : x
  2. Step 2: Convert to fraction form
    23,433.38/36,294.38 = 36,294.38/x
  3. Step 3: Cross multiply
    23,433.38x = 36,294.38 × 36,294.38
  4. Step 4: Simplify right side
    23,433.38x = 1,317,281,656.64
  5. Step 5: Solve for x
    x = 1,317,281,656.64/23,433.38
  6. Step 6: Final answer
    x = 56,213.91

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Why These Related Problems?

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