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Finding the Third Proportional to 12,413.25 and 26,604

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Solution

The third proportional to 12,413.25 and 26,604 is: 57,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.25 : 26,604 = 26,604 : x
  2. Step 2: Convert to fraction form
    12,413.25/26,604 = 26,604/x
  3. Step 3: Cross multiply
    12,413.25x = 26,604 × 26,604
  4. Step 4: Simplify right side
    12,413.25x = 707,772,816
  5. Step 5: Solve for x
    x = 707,772,816/12,413.25
  6. Step 6: Final answer
    x = 57,017.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.