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Finding the Third Proportional to 31,828 and 48,846

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Solution

The third proportional to 31,828 and 48,846 is: 74,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,828 : 48,846 = 48,846 : x
  2. Step 2: Convert to fraction form
    31,828/48,846 = 48,846/x
  3. Step 3: Cross multiply
    31,828x = 48,846 × 48,846
  4. Step 4: Simplify right side
    31,828x = 2,385,931,716
  5. Step 5: Solve for x
    x = 2,385,931,716/31,828
  6. Step 6: Final answer
    x = 74,963.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.