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Finding the Third Proportional to 15,231 and 22,846

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Solution

The third proportional to 15,231 and 22,846 is: 34,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231 : 22,846 = 22,846 : x
  2. Step 2: Convert to fraction form
    15,231/22,846 = 22,846/x
  3. Step 3: Cross multiply
    15,231x = 22,846 × 22,846
  4. Step 4: Simplify right side
    15,231x = 521,939,716
  5. Step 5: Solve for x
    x = 521,939,716/15,231
  6. Step 6: Final answer
    x = 34,268.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.