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Finding the Third Proportional to 15,274 and 32,357

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Solution

The third proportional to 15,274 and 32,357 is: 68,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,274 : 32,357 = 32,357 : x
  2. Step 2: Convert to fraction form
    15,274/32,357 = 32,357/x
  3. Step 3: Cross multiply
    15,274x = 32,357 × 32,357
  4. Step 4: Simplify right side
    15,274x = 1,046,975,449
  5. Step 5: Solve for x
    x = 1,046,975,449/15,274
  6. Step 6: Final answer
    x = 68,546.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.