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Finding the Third Proportional to 25,121 and 34,210

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Solution

The third proportional to 25,121 and 34,210 is: 46,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,121 : 34,210 = 34,210 : x
  2. Step 2: Convert to fraction form
    25,121/34,210 = 34,210/x
  3. Step 3: Cross multiply
    25,121x = 34,210 × 34,210
  4. Step 4: Simplify right side
    25,121x = 1,170,324,100
  5. Step 5: Solve for x
    x = 1,170,324,100/25,121
  6. Step 6: Final answer
    x = 46,587.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.