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Finding the Third Proportional to 25,940 and 55,334

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Solution

The third proportional to 25,940 and 55,334 is: 118,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,940 : 55,334 = 55,334 : x
  2. Step 2: Convert to fraction form
    25,940/55,334 = 55,334/x
  3. Step 3: Cross multiply
    25,940x = 55,334 × 55,334
  4. Step 4: Simplify right side
    25,940x = 3,061,851,556
  5. Step 5: Solve for x
    x = 3,061,851,556/25,940
  6. Step 6: Final answer
    x = 118,035.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.