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Finding the Third Proportional to 4,319.25 and 7,750.13

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Solution

The third proportional to 4,319.25 and 7,750.13 is: 13,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319.25 : 7,750.13 = 7,750.13 : x
  2. Step 2: Convert to fraction form
    4,319.25/7,750.13 = 7,750.13/x
  3. Step 3: Cross multiply
    4,319.25x = 7,750.13 × 7,750.13
  4. Step 4: Simplify right side
    4,319.25x = 60,064,437.52
  5. Step 5: Solve for x
    x = 60,064,437.52/4,319.25
  6. Step 6: Final answer
    x = 13,906.22

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.