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Finding the Third Proportional to 35,890 and 53,847

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Solution

The third proportional to 35,890 and 53,847 is: 80,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,890 : 53,847 = 53,847 : x
  2. Step 2: Convert to fraction form
    35,890/53,847 = 53,847/x
  3. Step 3: Cross multiply
    35,890x = 53,847 × 53,847
  4. Step 4: Simplify right side
    35,890x = 2,899,499,409
  5. Step 5: Solve for x
    x = 2,899,499,409/35,890
  6. Step 6: Final answer
    x = 80,788.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.