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Finding the Third Proportional to 35,660 and 55,438

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Solution

The third proportional to 35,660 and 55,438 is: 86,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,660 : 55,438 = 55,438 : x
  2. Step 2: Convert to fraction form
    35,660/55,438 = 55,438/x
  3. Step 3: Cross multiply
    35,660x = 55,438 × 55,438
  4. Step 4: Simplify right side
    35,660x = 3,073,371,844
  5. Step 5: Solve for x
    x = 3,073,371,844/35,660
  6. Step 6: Final answer
    x = 86,185.41

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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.