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Finding the Third Proportional to 14,857 and 22,289

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Solution

The third proportional to 14,857 and 22,289 is: 33,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857 : 22,289 = 22,289 : x
  2. Step 2: Convert to fraction form
    14,857/22,289 = 22,289/x
  3. Step 3: Cross multiply
    14,857x = 22,289 × 22,289
  4. Step 4: Simplify right side
    14,857x = 496,799,521
  5. Step 5: Solve for x
    x = 496,799,521/14,857
  6. Step 6: Final answer
    x = 33,438.75

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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.