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Finding the Third Proportional to 40,790 and 59,606

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Solution

The third proportional to 40,790 and 59,606 is: 87,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,790 : 59,606 = 59,606 : x
  2. Step 2: Convert to fraction form
    40,790/59,606 = 59,606/x
  3. Step 3: Cross multiply
    40,790x = 59,606 × 59,606
  4. Step 4: Simplify right side
    40,790x = 3,552,875,236
  5. Step 5: Solve for x
    x = 3,552,875,236/40,790
  6. Step 6: Final answer
    x = 87,101.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.