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Finding the Third Proportional to 15,356 and 32,259

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Solution

The third proportional to 15,356 and 32,259 is: 67,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,356 : 32,259 = 32,259 : x
  2. Step 2: Convert to fraction form
    15,356/32,259 = 32,259/x
  3. Step 3: Cross multiply
    15,356x = 32,259 × 32,259
  4. Step 4: Simplify right side
    15,356x = 1,040,643,081
  5. Step 5: Solve for x
    x = 1,040,643,081/15,356
  6. Step 6: Final answer
    x = 67,767.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.