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Finding the Third Proportional to 26,303 and 56,980

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Solution

The third proportional to 26,303 and 56,980 is: 123,435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,303 : 56,980 = 56,980 : x
  2. Step 2: Convert to fraction form
    26,303/56,980 = 56,980/x
  3. Step 3: Cross multiply
    26,303x = 56,980 × 56,980
  4. Step 4: Simplify right side
    26,303x = 3,246,720,400
  5. Step 5: Solve for x
    x = 3,246,720,400/26,303
  6. Step 6: Final answer
    x = 123,435.36

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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.