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Finding the Third Proportional to 25,790 and 56,275

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Solution

The third proportional to 25,790 and 56,275 is: 122,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,790 : 56,275 = 56,275 : x
  2. Step 2: Convert to fraction form
    25,790/56,275 = 56,275/x
  3. Step 3: Cross multiply
    25,790x = 56,275 × 56,275
  4. Step 4: Simplify right side
    25,790x = 3,166,875,625
  5. Step 5: Solve for x
    x = 3,166,875,625/25,790
  6. Step 6: Final answer
    x = 122,794.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.