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Finding the Third Proportional to 44,034 and 66,894

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Solution

The third proportional to 44,034 and 66,894 is: 101,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,034 : 66,894 = 66,894 : x
  2. Step 2: Convert to fraction form
    44,034/66,894 = 66,894/x
  3. Step 3: Cross multiply
    44,034x = 66,894 × 66,894
  4. Step 4: Simplify right side
    44,034x = 4,474,807,236
  5. Step 5: Solve for x
    x = 4,474,807,236/44,034
  6. Step 6: Final answer
    x = 101,621.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.