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Finding the Third Proportional to 32,145.75 and 69,075

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Solution

The third proportional to 32,145.75 and 69,075 is: 148,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.75 : 69,075 = 69,075 : x
  2. Step 2: Convert to fraction form
    32,145.75/69,075 = 69,075/x
  3. Step 3: Cross multiply
    32,145.75x = 69,075 × 69,075
  4. Step 4: Simplify right side
    32,145.75x = 4,771,355,625
  5. Step 5: Solve for x
    x = 4,771,355,625/32,145.75
  6. Step 6: Final answer
    x = 148,428.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.