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Finding the Third Proportional to 15,877.11 and 23,967.30

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Solution

The third proportional to 15,877.11 and 23,967.30 is: 36,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.11 : 23,967.30 = 23,967.30 : x
  2. Step 2: Convert to fraction form
    15,877.11/23,967.30 = 23,967.30/x
  3. Step 3: Cross multiply
    15,877.11x = 23,967.30 × 23,967.30
  4. Step 4: Simplify right side
    15,877.11x = 574,431,413.12
  5. Step 5: Solve for x
    x = 574,431,413.12/15,877.11
  6. Step 6: Final answer
    x = 36,179.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.