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Finding the Third Proportional to 30,057.75 and 64,882.69

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Solution

The third proportional to 30,057.75 and 64,882.69 is: 140,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,057.75 : 64,882.69 = 64,882.69 : x
  2. Step 2: Convert to fraction form
    30,057.75/64,882.69 = 64,882.69/x
  3. Step 3: Cross multiply
    30,057.75x = 64,882.69 × 64,882.69
  4. Step 4: Simplify right side
    30,057.75x = 4,209,763,137.22
  5. Step 5: Solve for x
    x = 4,209,763,137.22/30,057.75
  6. Step 6: Final answer
    x = 140,055.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.