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Finding the Third Proportional to 33,985 and 79,013

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Solution

The third proportional to 33,985 and 79,013 is: 183,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,985 : 79,013 = 79,013 : x
  2. Step 2: Convert to fraction form
    33,985/79,013 = 79,013/x
  3. Step 3: Cross multiply
    33,985x = 79,013 × 79,013
  4. Step 4: Simplify right side
    33,985x = 6,243,054,169
  5. Step 5: Solve for x
    x = 6,243,054,169/33,985
  6. Step 6: Final answer
    x = 183,700.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.