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Finding the Third Proportional to 33,948 and 74,457

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Solution

The third proportional to 33,948 and 74,457 is: 163,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,948 : 74,457 = 74,457 : x
  2. Step 2: Convert to fraction form
    33,948/74,457 = 74,457/x
  3. Step 3: Cross multiply
    33,948x = 74,457 × 74,457
  4. Step 4: Simplify right side
    33,948x = 5,543,844,849
  5. Step 5: Solve for x
    x = 5,543,844,849/33,948
  6. Step 6: Final answer
    x = 163,304.02

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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.