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Finding the Third Proportional to 20,148 and 37,758

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Solution

The third proportional to 20,148 and 37,758 is: 70,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,148 : 37,758 = 37,758 : x
  2. Step 2: Convert to fraction form
    20,148/37,758 = 37,758/x
  3. Step 3: Cross multiply
    20,148x = 37,758 × 37,758
  4. Step 4: Simplify right side
    20,148x = 1,425,666,564
  5. Step 5: Solve for x
    x = 1,425,666,564/20,148
  6. Step 6: Final answer
    x = 70,759.71

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.