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Finding the Third Proportional to 26,827 and 40,098.75

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Solution

The third proportional to 26,827 and 40,098.75 is: 59,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,827 : 40,098.75 = 40,098.75 : x
  2. Step 2: Convert to fraction form
    26,827/40,098.75 = 40,098.75/x
  3. Step 3: Cross multiply
    26,827x = 40,098.75 × 40,098.75
  4. Step 4: Simplify right side
    26,827x = 1,607,909,751.56
  5. Step 5: Solve for x
    x = 1,607,909,751.56/26,827
  6. Step 6: Final answer
    x = 59,936.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.