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Finding the Third Proportional to 25,736 and 55,900

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Solution

The third proportional to 25,736 and 55,900 is: 121,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,736 : 55,900 = 55,900 : x
  2. Step 2: Convert to fraction form
    25,736/55,900 = 55,900/x
  3. Step 3: Cross multiply
    25,736x = 55,900 × 55,900
  4. Step 4: Simplify right side
    25,736x = 3,124,810,000
  5. Step 5: Solve for x
    x = 3,124,810,000/25,736
  6. Step 6: Final answer
    x = 121,417.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.