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Finding the Third Proportional to 26,073 and 53,361

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Solution

The third proportional to 26,073 and 53,361 is: 109,208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,073 : 53,361 = 53,361 : x
  2. Step 2: Convert to fraction form
    26,073/53,361 = 53,361/x
  3. Step 3: Cross multiply
    26,073x = 53,361 × 53,361
  4. Step 4: Simplify right side
    26,073x = 2,847,396,321
  5. Step 5: Solve for x
    x = 2,847,396,321/26,073
  6. Step 6: Final answer
    x = 109,208.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.