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Finding the Third Proportional to 10,557 and 15,879

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Solution

The third proportional to 10,557 and 15,879 is: 23,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557 : 15,879 = 15,879 : x
  2. Step 2: Convert to fraction form
    10,557/15,879 = 15,879/x
  3. Step 3: Cross multiply
    10,557x = 15,879 × 15,879
  4. Step 4: Simplify right side
    10,557x = 252,142,641
  5. Step 5: Solve for x
    x = 252,142,641/10,557
  6. Step 6: Final answer
    x = 23,883.93

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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.