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Finding the Third Proportional to 6,275.25 and 9,413.16

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Solution

The third proportional to 6,275.25 and 9,413.16 is: 14,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.25 : 9,413.16 = 9,413.16 : x
  2. Step 2: Convert to fraction form
    6,275.25/9,413.16 = 9,413.16/x
  3. Step 3: Cross multiply
    6,275.25x = 9,413.16 × 9,413.16
  4. Step 4: Simplify right side
    6,275.25x = 88,607,510.59
  5. Step 5: Solve for x
    x = 88,607,510.59/6,275.25
  6. Step 6: Final answer
    x = 14,120.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.