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Finding the Third Proportional to 5,344.50 and 7,149.75

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Solution

The third proportional to 5,344.50 and 7,149.75 is: 9,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.50 : 7,149.75 = 7,149.75 : x
  2. Step 2: Convert to fraction form
    5,344.50/7,149.75 = 7,149.75/x
  3. Step 3: Cross multiply
    5,344.50x = 7,149.75 × 7,149.75
  4. Step 4: Simplify right side
    5,344.50x = 51,118,925.06
  5. Step 5: Solve for x
    x = 51,118,925.06/5,344.50
  6. Step 6: Final answer
    x = 9,564.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.