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Finding the Third Proportional to 36,948 and 76,524

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Solution

The third proportional to 36,948 and 76,524 is: 158,490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,948 : 76,524 = 76,524 : x
  2. Step 2: Convert to fraction form
    36,948/76,524 = 76,524/x
  3. Step 3: Cross multiply
    36,948x = 76,524 × 76,524
  4. Step 4: Simplify right side
    36,948x = 5,855,922,576
  5. Step 5: Solve for x
    x = 5,855,922,576/36,948
  6. Step 6: Final answer
    x = 158,490.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.