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Finding the Third Proportional to 15,278 and 32,366

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Solution

The third proportional to 15,278 and 32,366 is: 68,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,278 : 32,366 = 32,366 : x
  2. Step 2: Convert to fraction form
    15,278/32,366 = 32,366/x
  3. Step 3: Cross multiply
    15,278x = 32,366 × 32,366
  4. Step 4: Simplify right side
    15,278x = 1,047,557,956
  5. Step 5: Solve for x
    x = 1,047,557,956/15,278
  6. Step 6: Final answer
    x = 68,566.43

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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.