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Finding the Third Proportional to 44,550 and 69,075

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Solution

The third proportional to 44,550 and 69,075 is: 107,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,550 : 69,075 = 69,075 : x
  2. Step 2: Convert to fraction form
    44,550/69,075 = 69,075/x
  3. Step 3: Cross multiply
    44,550x = 69,075 × 69,075
  4. Step 4: Simplify right side
    44,550x = 4,771,355,625
  5. Step 5: Solve for x
    x = 4,771,355,625/44,550
  6. Step 6: Final answer
    x = 107,101.14

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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.