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Finding the Third Proportional to 4,744.13 and 5,977.13

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Solution

The third proportional to 4,744.13 and 5,977.13 is: 7,530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.13 : 5,977.13 = 5,977.13 : x
  2. Step 2: Convert to fraction form
    4,744.13/5,977.13 = 5,977.13/x
  3. Step 3: Cross multiply
    4,744.13x = 5,977.13 × 5,977.13
  4. Step 4: Simplify right side
    4,744.13x = 35,726,023.27
  5. Step 5: Solve for x
    x = 35,726,023.27/4,744.13
  6. Step 6: Final answer
    x = 7,530.58

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.