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Finding the Third Proportional to 35,698 and 66,112

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Solution

The third proportional to 35,698 and 66,112 is: 122,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698 : 66,112 = 66,112 : x
  2. Step 2: Convert to fraction form
    35,698/66,112 = 66,112/x
  3. Step 3: Cross multiply
    35,698x = 66,112 × 66,112
  4. Step 4: Simplify right side
    35,698x = 4,370,796,544
  5. Step 5: Solve for x
    x = 4,370,796,544/35,698
  6. Step 6: Final answer
    x = 122,438.14

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.