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Finding the Third Proportional to 26,283 and 56,941

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Solution

The third proportional to 26,283 and 56,941 is: 123,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,283 : 56,941 = 56,941 : x
  2. Step 2: Convert to fraction form
    26,283/56,941 = 56,941/x
  3. Step 3: Cross multiply
    26,283x = 56,941 × 56,941
  4. Step 4: Simplify right side
    26,283x = 3,242,277,481
  5. Step 5: Solve for x
    x = 3,242,277,481/26,283
  6. Step 6: Final answer
    x = 123,360.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.