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Finding the Third Proportional to 15,886 and 24,334

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Solution

The third proportional to 15,886 and 24,334 is: 37,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886 : 24,334 = 24,334 : x
  2. Step 2: Convert to fraction form
    15,886/24,334 = 24,334/x
  3. Step 3: Cross multiply
    15,886x = 24,334 × 24,334
  4. Step 4: Simplify right side
    15,886x = 592,143,556
  5. Step 5: Solve for x
    x = 592,143,556/15,886
  6. Step 6: Final answer
    x = 37,274.55

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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.