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Finding the Third Proportional to 6,437.25 and 10,279.13

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Solution

The third proportional to 6,437.25 and 10,279.13 is: 16,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.25 : 10,279.13 = 10,279.13 : x
  2. Step 2: Convert to fraction form
    6,437.25/10,279.13 = 10,279.13/x
  3. Step 3: Cross multiply
    6,437.25x = 10,279.13 × 10,279.13
  4. Step 4: Simplify right side
    6,437.25x = 105,660,410.77
  5. Step 5: Solve for x
    x = 105,660,410.77/6,437.25
  6. Step 6: Final answer
    x = 16,413.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.