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Finding the Third Proportional to 7,506.42 and 11,413.41

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Solution

The third proportional to 7,506.42 and 11,413.41 is: 17,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.42 : 11,413.41 = 11,413.41 : x
  2. Step 2: Convert to fraction form
    7,506.42/11,413.41 = 11,413.41/x
  3. Step 3: Cross multiply
    7,506.42x = 11,413.41 × 11,413.41
  4. Step 4: Simplify right side
    7,506.42x = 130,265,842.23
  5. Step 5: Solve for x
    x = 130,265,842.23/7,506.42
  6. Step 6: Final answer
    x = 17,353.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.