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Finding the Third Proportional to 29,889 and 40,413.94

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Solution

The third proportional to 29,889 and 40,413.94 is: 54,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,889 : 40,413.94 = 40,413.94 : x
  2. Step 2: Convert to fraction form
    29,889/40,413.94 = 40,413.94/x
  3. Step 3: Cross multiply
    29,889x = 40,413.94 × 40,413.94
  4. Step 4: Simplify right side
    29,889x = 1,633,286,344.25
  5. Step 5: Solve for x
    x = 1,633,286,344.25/29,889
  6. Step 6: Final answer
    x = 54,645.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.