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Finding the Third Proportional to 33,018 and 51,148

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Solution

The third proportional to 33,018 and 51,148 is: 79,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,018 : 51,148 = 51,148 : x
  2. Step 2: Convert to fraction form
    33,018/51,148 = 51,148/x
  3. Step 3: Cross multiply
    33,018x = 51,148 × 51,148
  4. Step 4: Simplify right side
    33,018x = 2,616,117,904
  5. Step 5: Solve for x
    x = 2,616,117,904/33,018
  6. Step 6: Final answer
    x = 79,233.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.