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Finding the Third Proportional to 44,625 and 69,097

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Solution

The third proportional to 44,625 and 69,097 is: 106,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,625 : 69,097 = 69,097 : x
  2. Step 2: Convert to fraction form
    44,625/69,097 = 69,097/x
  3. Step 3: Cross multiply
    44,625x = 69,097 × 69,097
  4. Step 4: Simplify right side
    44,625x = 4,774,395,409
  5. Step 5: Solve for x
    x = 4,774,395,409/44,625
  6. Step 6: Final answer
    x = 106,989.25

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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.