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Finding the Third Proportional to 25,301 and 54,977

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Solution

The third proportional to 25,301 and 54,977 is: 119,460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,301 : 54,977 = 54,977 : x
  2. Step 2: Convert to fraction form
    25,301/54,977 = 54,977/x
  3. Step 3: Cross multiply
    25,301x = 54,977 × 54,977
  4. Step 4: Simplify right side
    25,301x = 3,022,470,529
  5. Step 5: Solve for x
    x = 3,022,470,529/25,301
  6. Step 6: Final answer
    x = 119,460.52

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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.