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Finding the Third Proportional to 20,133 and 37,391

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Solution

The third proportional to 20,133 and 37,391 is: 69,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133 : 37,391 = 37,391 : x
  2. Step 2: Convert to fraction form
    20,133/37,391 = 37,391/x
  3. Step 3: Cross multiply
    20,133x = 37,391 × 37,391
  4. Step 4: Simplify right side
    20,133x = 1,398,086,881
  5. Step 5: Solve for x
    x = 1,398,086,881/20,133
  6. Step 6: Final answer
    x = 69,442.55

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.