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Finding the Third Proportional to 4,529.25 and 7,114.13

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Solution

The third proportional to 4,529.25 and 7,114.13 is: 11,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529.25 : 7,114.13 = 7,114.13 : x
  2. Step 2: Convert to fraction form
    4,529.25/7,114.13 = 7,114.13/x
  3. Step 3: Cross multiply
    4,529.25x = 7,114.13 × 7,114.13
  4. Step 4: Simplify right side
    4,529.25x = 50,610,774.52
  5. Step 5: Solve for x
    x = 50,610,774.52/4,529.25
  6. Step 6: Final answer
    x = 11,174.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.