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Finding the Third Proportional to 25,234 and 36,210

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Solution

The third proportional to 25,234 and 36,210 is: 51,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,234 : 36,210 = 36,210 : x
  2. Step 2: Convert to fraction form
    25,234/36,210 = 36,210/x
  3. Step 3: Cross multiply
    25,234x = 36,210 × 36,210
  4. Step 4: Simplify right side
    25,234x = 1,311,164,100
  5. Step 5: Solve for x
    x = 1,311,164,100/25,234
  6. Step 6: Final answer
    x = 51,960.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.