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Finding the Third Proportional to 25,201 and 54,821

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Solution

The third proportional to 25,201 and 54,821 is: 119,254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201 : 54,821 = 54,821 : x
  2. Step 2: Convert to fraction form
    25,201/54,821 = 54,821/x
  3. Step 3: Cross multiply
    25,201x = 54,821 × 54,821
  4. Step 4: Simplify right side
    25,201x = 3,005,342,041
  5. Step 5: Solve for x
    x = 3,005,342,041/25,201
  6. Step 6: Final answer
    x = 119,254.87

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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.