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Finding the Third Proportional to 14,306 and 22,251

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Solution

The third proportional to 14,306 and 22,251 is: 34,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306 : 22,251 = 22,251 : x
  2. Step 2: Convert to fraction form
    14,306/22,251 = 22,251/x
  3. Step 3: Cross multiply
    14,306x = 22,251 × 22,251
  4. Step 4: Simplify right side
    14,306x = 495,107,001
  5. Step 5: Solve for x
    x = 495,107,001/14,306
  6. Step 6: Final answer
    x = 34,608.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.