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Finding the Third Proportional to 2,332.23 and 3,559.57

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Solution

The third proportional to 2,332.23 and 3,559.57 is: 5,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.23 : 3,559.57 = 3,559.57 : x
  2. Step 2: Convert to fraction form
    2,332.23/3,559.57 = 3,559.57/x
  3. Step 3: Cross multiply
    2,332.23x = 3,559.57 × 3,559.57
  4. Step 4: Simplify right side
    2,332.23x = 12,670,540.81
  5. Step 5: Solve for x
    x = 12,670,540.81/2,332.23
  6. Step 6: Final answer
    x = 5,432.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.