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Finding the Third Proportional to 10,544 and 15,886

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Solution

The third proportional to 10,544 and 15,886 is: 23,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544 : 15,886 = 15,886 : x
  2. Step 2: Convert to fraction form
    10,544/15,886 = 15,886/x
  3. Step 3: Cross multiply
    10,544x = 15,886 × 15,886
  4. Step 4: Simplify right side
    10,544x = 252,364,996
  5. Step 5: Solve for x
    x = 252,364,996/10,544
  6. Step 6: Final answer
    x = 23,934.46

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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.