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Finding the Third Proportional to 15,886 and 24,257

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Solution

The third proportional to 15,886 and 24,257 is: 37,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886 : 24,257 = 24,257 : x
  2. Step 2: Convert to fraction form
    15,886/24,257 = 24,257/x
  3. Step 3: Cross multiply
    15,886x = 24,257 × 24,257
  4. Step 4: Simplify right side
    15,886x = 588,402,049
  5. Step 5: Solve for x
    x = 588,402,049/15,886
  6. Step 6: Final answer
    x = 37,039.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.