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Finding the Third Proportional to 15,143 and 22,267

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Solution

The third proportional to 15,143 and 22,267 is: 32,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143 : 22,267 = 22,267 : x
  2. Step 2: Convert to fraction form
    15,143/22,267 = 22,267/x
  3. Step 3: Cross multiply
    15,143x = 22,267 × 22,267
  4. Step 4: Simplify right side
    15,143x = 495,819,289
  5. Step 5: Solve for x
    x = 495,819,289/15,143
  6. Step 6: Final answer
    x = 32,742.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.