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Finding the Third Proportional to 14,214 and 22,254

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Solution

The third proportional to 14,214 and 22,254 is: 34,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214 : 22,254 = 22,254 : x
  2. Step 2: Convert to fraction form
    14,214/22,254 = 22,254/x
  3. Step 3: Cross multiply
    14,214x = 22,254 × 22,254
  4. Step 4: Simplify right side
    14,214x = 495,240,516
  5. Step 5: Solve for x
    x = 495,240,516/14,214
  6. Step 6: Final answer
    x = 34,841.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.