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Finding the Third Proportional to 44,606 and 69,069

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Solution

The third proportional to 44,606 and 69,069 is: 106,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,606 : 69,069 = 69,069 : x
  2. Step 2: Convert to fraction form
    44,606/69,069 = 69,069/x
  3. Step 3: Cross multiply
    44,606x = 69,069 × 69,069
  4. Step 4: Simplify right side
    44,606x = 4,770,526,761
  5. Step 5: Solve for x
    x = 4,770,526,761/44,606
  6. Step 6: Final answer
    x = 106,948.10

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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.