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Finding the Third Proportional to 5,271.75 and 6,132.38

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Solution

The third proportional to 5,271.75 and 6,132.38 is: 7,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.75 : 6,132.38 = 6,132.38 : x
  2. Step 2: Convert to fraction form
    5,271.75/6,132.38 = 6,132.38/x
  3. Step 3: Cross multiply
    5,271.75x = 6,132.38 × 6,132.38
  4. Step 4: Simplify right side
    5,271.75x = 37,606,023.14
  5. Step 5: Solve for x
    x = 37,606,023.14/5,271.75
  6. Step 6: Final answer
    x = 7,133.50

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.