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Finding the Third Proportional to 15,124 and 22,254

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Solution

The third proportional to 15,124 and 22,254 is: 32,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,124 : 22,254 = 22,254 : x
  2. Step 2: Convert to fraction form
    15,124/22,254 = 22,254/x
  3. Step 3: Cross multiply
    15,124x = 22,254 × 22,254
  4. Step 4: Simplify right side
    15,124x = 495,240,516
  5. Step 5: Solve for x
    x = 495,240,516/15,124
  6. Step 6: Final answer
    x = 32,745.34

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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.