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Finding the Third Proportional to 5,238.75 and 7,328.25

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Solution

The third proportional to 5,238.75 and 7,328.25 is: 10,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.75 : 7,328.25 = 7,328.25 : x
  2. Step 2: Convert to fraction form
    5,238.75/7,328.25 = 7,328.25/x
  3. Step 3: Cross multiply
    5,238.75x = 7,328.25 × 7,328.25
  4. Step 4: Simplify right side
    5,238.75x = 53,703,248.06
  5. Step 5: Solve for x
    x = 53,703,248.06/5,238.75
  6. Step 6: Final answer
    x = 10,251.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.