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Finding the Third Proportional to 38,922 and 59,526

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Solution

The third proportional to 38,922 and 59,526 is: 91,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,922 : 59,526 = 59,526 : x
  2. Step 2: Convert to fraction form
    38,922/59,526 = 59,526/x
  3. Step 3: Cross multiply
    38,922x = 59,526 × 59,526
  4. Step 4: Simplify right side
    38,922x = 3,543,344,676
  5. Step 5: Solve for x
    x = 3,543,344,676/38,922
  6. Step 6: Final answer
    x = 91,037.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.