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Finding the Third Proportional to 26,983 and 40,197

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Solution

The third proportional to 26,983 and 40,197 is: 59,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,983 : 40,197 = 40,197 : x
  2. Step 2: Convert to fraction form
    26,983/40,197 = 40,197/x
  3. Step 3: Cross multiply
    26,983x = 40,197 × 40,197
  4. Step 4: Simplify right side
    26,983x = 1,615,798,809
  5. Step 5: Solve for x
    x = 1,615,798,809/26,983
  6. Step 6: Final answer
    x = 59,882.10

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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.