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Finding the Third Proportional to 26,298 and 39,720.38

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Solution

The third proportional to 26,298 and 39,720.38 is: 59,993.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,298 : 39,720.38 = 39,720.38 : x
  2. Step 2: Convert to fraction form
    26,298/39,720.38 = 39,720.38/x
  3. Step 3: Cross multiply
    26,298x = 39,720.38 × 39,720.38
  4. Step 4: Simplify right side
    26,298x = 1,577,708,190.14
  5. Step 5: Solve for x
    x = 1,577,708,190.14/26,298
  6. Step 6: Final answer
    x = 59,993.47

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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.