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Finding the Third Proportional to 35,106 and 55,805

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Solution

The third proportional to 35,106 and 55,805 is: 88,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,106 : 55,805 = 55,805 : x
  2. Step 2: Convert to fraction form
    35,106/55,805 = 55,805/x
  3. Step 3: Cross multiply
    35,106x = 55,805 × 55,805
  4. Step 4: Simplify right side
    35,106x = 3,114,198,025
  5. Step 5: Solve for x
    x = 3,114,198,025/35,106
  6. Step 6: Final answer
    x = 88,708.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.