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Finding the Third Proportional to 5,320.05 and 11,452.01

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Solution

The third proportional to 5,320.05 and 11,452.01 is: 24,651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.05 : 11,452.01 = 11,452.01 : x
  2. Step 2: Convert to fraction form
    5,320.05/11,452.01 = 11,452.01/x
  3. Step 3: Cross multiply
    5,320.05x = 11,452.01 × 11,452.01
  4. Step 4: Simplify right side
    5,320.05x = 131,148,482.94
  5. Step 5: Solve for x
    x = 131,148,482.94/5,320.05
  6. Step 6: Final answer
    x = 24,651.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.