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Finding the Third Proportional to 51,844 and 69,478

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Solution

The third proportional to 51,844 and 69,478 is: 93,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,844 : 69,478 = 69,478 : x
  2. Step 2: Convert to fraction form
    51,844/69,478 = 69,478/x
  3. Step 3: Cross multiply
    51,844x = 69,478 × 69,478
  4. Step 4: Simplify right side
    51,844x = 4,827,192,484
  5. Step 5: Solve for x
    x = 4,827,192,484/51,844
  6. Step 6: Final answer
    x = 93,109.95

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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.