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Finding the Third Proportional to 10,276.31 and 15,413.91

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Solution

The third proportional to 10,276.31 and 15,413.91 is: 23,120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.31 : 15,413.91 = 15,413.91 : x
  2. Step 2: Convert to fraction form
    10,276.31/15,413.91 = 15,413.91/x
  3. Step 3: Cross multiply
    10,276.31x = 15,413.91 × 15,413.91
  4. Step 4: Simplify right side
    10,276.31x = 237,588,505.88
  5. Step 5: Solve for x
    x = 237,588,505.88/10,276.31
  6. Step 6: Final answer
    x = 23,120.02

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