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Finding the Third Proportional to 26,348 and 46,847

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Solution

The third proportional to 26,348 and 46,847 is: 83,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,348 : 46,847 = 46,847 : x
  2. Step 2: Convert to fraction form
    26,348/46,847 = 46,847/x
  3. Step 3: Cross multiply
    26,348x = 46,847 × 46,847
  4. Step 4: Simplify right side
    26,348x = 2,194,641,409
  5. Step 5: Solve for x
    x = 2,194,641,409/26,348
  6. Step 6: Final answer
    x = 83,294.42

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.