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Finding the Third Proportional to 4,523.34 and 9,595.97

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Solution

The third proportional to 4,523.34 and 9,595.97 is: 20,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.34 : 9,595.97 = 9,595.97 : x
  2. Step 2: Convert to fraction form
    4,523.34/9,595.97 = 9,595.97/x
  3. Step 3: Cross multiply
    4,523.34x = 9,595.97 × 9,595.97
  4. Step 4: Simplify right side
    4,523.34x = 92,082,616.25
  5. Step 5: Solve for x
    x = 92,082,616.25/4,523.34
  6. Step 6: Final answer
    x = 20,357.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.