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Finding the Third Proportional to 15,782 and 23,641

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Solution

The third proportional to 15,782 and 23,641 is: 35,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782 : 23,641 = 23,641 : x
  2. Step 2: Convert to fraction form
    15,782/23,641 = 23,641/x
  3. Step 3: Cross multiply
    15,782x = 23,641 × 23,641
  4. Step 4: Simplify right side
    15,782x = 558,896,881
  5. Step 5: Solve for x
    x = 558,896,881/15,782
  6. Step 6: Final answer
    x = 35,413.56

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Why These Related Problems?

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