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Finding the Third Proportional to 39,606 and 59,790

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Solution

The third proportional to 39,606 and 59,790 is: 90,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,606 : 59,790 = 59,790 : x
  2. Step 2: Convert to fraction form
    39,606/59,790 = 59,790/x
  3. Step 3: Cross multiply
    39,606x = 59,790 × 59,790
  4. Step 4: Simplify right side
    39,606x = 3,574,844,100
  5. Step 5: Solve for x
    x = 3,574,844,100/39,606
  6. Step 6: Final answer
    x = 90,260.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.