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Finding the Third Proportional to 5,271.75 and 7,417.13

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Solution

The third proportional to 5,271.75 and 7,417.13 is: 10,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.75 : 7,417.13 = 7,417.13 : x
  2. Step 2: Convert to fraction form
    5,271.75/7,417.13 = 7,417.13/x
  3. Step 3: Cross multiply
    5,271.75x = 7,417.13 × 7,417.13
  4. Step 4: Simplify right side
    5,271.75x = 55,013,743.27
  5. Step 5: Solve for x
    x = 55,013,743.27/5,271.75
  6. Step 6: Final answer
    x = 10,435.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.