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Finding the Third Proportional to 33,949 and 74,459

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Solution

The third proportional to 33,949 and 74,459 is: 163,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,949 : 74,459 = 74,459 : x
  2. Step 2: Convert to fraction form
    33,949/74,459 = 74,459/x
  3. Step 3: Cross multiply
    33,949x = 74,459 × 74,459
  4. Step 4: Simplify right side
    33,949x = 5,544,142,681
  5. Step 5: Solve for x
    x = 5,544,142,681/33,949
  6. Step 6: Final answer
    x = 163,307.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.