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Finding the Third Proportional to 26,501.75 and 40,983

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Solution

The third proportional to 26,501.75 and 40,983 is: 63,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,501.75 : 40,983 = 40,983 : x
  2. Step 2: Convert to fraction form
    26,501.75/40,983 = 40,983/x
  3. Step 3: Cross multiply
    26,501.75x = 40,983 × 40,983
  4. Step 4: Simplify right side
    26,501.75x = 1,679,606,289
  5. Step 5: Solve for x
    x = 1,679,606,289/26,501.75
  6. Step 6: Final answer
    x = 63,377.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.