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Finding the Third Proportional to 5,117.25 and 7,506.75

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Solution

The third proportional to 5,117.25 and 7,506.75 is: 11,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.25 : 7,506.75 = 7,506.75 : x
  2. Step 2: Convert to fraction form
    5,117.25/7,506.75 = 7,506.75/x
  3. Step 3: Cross multiply
    5,117.25x = 7,506.75 × 7,506.75
  4. Step 4: Simplify right side
    5,117.25x = 56,351,295.56
  5. Step 5: Solve for x
    x = 56,351,295.56/5,117.25
  6. Step 6: Final answer
    x = 11,012.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.