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Finding the Third Proportional to 26,660 and 61,718

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Solution

The third proportional to 26,660 and 61,718 is: 142,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,660 : 61,718 = 61,718 : x
  2. Step 2: Convert to fraction form
    26,660/61,718 = 61,718/x
  3. Step 3: Cross multiply
    26,660x = 61,718 × 61,718
  4. Step 4: Simplify right side
    26,660x = 3,809,111,524
  5. Step 5: Solve for x
    x = 3,809,111,524/26,660
  6. Step 6: Final answer
    x = 142,877.40

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.