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Finding the Third Proportional to 28,494 and 38,133

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Solution

The third proportional to 28,494 and 38,133 is: 51,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,494 : 38,133 = 38,133 : x
  2. Step 2: Convert to fraction form
    28,494/38,133 = 38,133/x
  3. Step 3: Cross multiply
    28,494x = 38,133 × 38,133
  4. Step 4: Simplify right side
    28,494x = 1,454,125,689
  5. Step 5: Solve for x
    x = 1,454,125,689/28,494
  6. Step 6: Final answer
    x = 51,032.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.