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Finding the Third Proportional to 37,998 and 82,044

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Solution

The third proportional to 37,998 and 82,044 is: 177,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,998 : 82,044 = 82,044 : x
  2. Step 2: Convert to fraction form
    37,998/82,044 = 82,044/x
  3. Step 3: Cross multiply
    37,998x = 82,044 × 82,044
  4. Step 4: Simplify right side
    37,998x = 6,731,217,936
  5. Step 5: Solve for x
    x = 6,731,217,936/37,998
  6. Step 6: Final answer
    x = 177,146.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.