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Finding the Third Proportional to 37,725.75 and 73,530.28

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Solution

The third proportional to 37,725.75 and 73,530.28 is: 143,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,725.75 : 73,530.28 = 73,530.28 : x
  2. Step 2: Convert to fraction form
    37,725.75/73,530.28 = 73,530.28/x
  3. Step 3: Cross multiply
    37,725.75x = 73,530.28 × 73,530.28
  4. Step 4: Simplify right side
    37,725.75x = 5,406,702,260.70
  5. Step 5: Solve for x
    x = 5,406,702,260.70/37,725.75
  6. Step 6: Final answer
    x = 143,315.96

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.