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Finding the Third Proportional to 33,948 and 52,461

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Solution

The third proportional to 33,948 and 52,461 is: 81,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,948 : 52,461 = 52,461 : x
  2. Step 2: Convert to fraction form
    33,948/52,461 = 52,461/x
  3. Step 3: Cross multiply
    33,948x = 52,461 × 52,461
  4. Step 4: Simplify right side
    33,948x = 2,752,156,521
  5. Step 5: Solve for x
    x = 2,752,156,521/33,948
  6. Step 6: Final answer
    x = 81,069.77

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