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Finding the Third Proportional to 30,802 and 66,521

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Solution

The third proportional to 30,802 and 66,521 is: 143,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802 : 66,521 = 66,521 : x
  2. Step 2: Convert to fraction form
    30,802/66,521 = 66,521/x
  3. Step 3: Cross multiply
    30,802x = 66,521 × 66,521
  4. Step 4: Simplify right side
    30,802x = 4,425,043,441
  5. Step 5: Solve for x
    x = 4,425,043,441/30,802
  6. Step 6: Final answer
    x = 143,660.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.