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Finding the Third Proportional to 3,559.57 and 4,748.94

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Solution

The third proportional to 3,559.57 and 4,748.94 is: 6,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.57 : 4,748.94 = 4,748.94 : x
  2. Step 2: Convert to fraction form
    3,559.57/4,748.94 = 4,748.94/x
  3. Step 3: Cross multiply
    3,559.57x = 4,748.94 × 4,748.94
  4. Step 4: Simplify right side
    3,559.57x = 22,552,444.48
  5. Step 5: Solve for x
    x = 22,552,444.48/3,559.57
  6. Step 6: Final answer
    x = 6,335.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.