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Finding the Third Proportional to 33,246 and 73,044

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Solution

The third proportional to 33,246 and 73,044 is: 160,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,246 : 73,044 = 73,044 : x
  2. Step 2: Convert to fraction form
    33,246/73,044 = 73,044/x
  3. Step 3: Cross multiply
    33,246x = 73,044 × 73,044
  4. Step 4: Simplify right side
    33,246x = 5,335,425,936
  5. Step 5: Solve for x
    x = 5,335,425,936/33,246
  6. Step 6: Final answer
    x = 160,483.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.