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Finding the Third Proportional to 26,200 and 40,098

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Solution

The third proportional to 26,200 and 40,098 is: 61,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200 : 40,098 = 40,098 : x
  2. Step 2: Convert to fraction form
    26,200/40,098 = 40,098/x
  3. Step 3: Cross multiply
    26,200x = 40,098 × 40,098
  4. Step 4: Simplify right side
    26,200x = 1,607,849,604
  5. Step 5: Solve for x
    x = 1,607,849,604/26,200
  6. Step 6: Final answer
    x = 61,368.31

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Why These Related Problems?

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