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Finding the Third Proportional to 25,984 and 55,940

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Solution

The third proportional to 25,984 and 55,940 is: 120,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,984 : 55,940 = 55,940 : x
  2. Step 2: Convert to fraction form
    25,984/55,940 = 55,940/x
  3. Step 3: Cross multiply
    25,984x = 55,940 × 55,940
  4. Step 4: Simplify right side
    25,984x = 3,129,283,600
  5. Step 5: Solve for x
    x = 3,129,283,600/25,984
  6. Step 6: Final answer
    x = 120,431.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.