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Finding the Third Proportional to 44,623 and 69,094

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Solution

The third proportional to 44,623 and 69,094 is: 106,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,623 : 69,094 = 69,094 : x
  2. Step 2: Convert to fraction form
    44,623/69,094 = 69,094/x
  3. Step 3: Cross multiply
    44,623x = 69,094 × 69,094
  4. Step 4: Simplify right side
    44,623x = 4,773,980,836
  5. Step 5: Solve for x
    x = 4,773,980,836/44,623
  6. Step 6: Final answer
    x = 106,984.76

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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.