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Finding the Third Proportional to 16,227.84 and 28,134.84

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Solution

The third proportional to 16,227.84 and 28,134.84 is: 48,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.84 : 28,134.84 = 28,134.84 : x
  2. Step 2: Convert to fraction form
    16,227.84/28,134.84 = 28,134.84/x
  3. Step 3: Cross multiply
    16,227.84x = 28,134.84 × 28,134.84
  4. Step 4: Simplify right side
    16,227.84x = 791,569,432.84
  5. Step 5: Solve for x
    x = 791,569,432.84/16,227.84
  6. Step 6: Final answer
    x = 48,778.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.