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Finding the Third Proportional to 30,105.94 and 65,574.38

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Solution

The third proportional to 30,105.94 and 65,574.38 is: 142,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105.94 : 65,574.38 = 65,574.38 : x
  2. Step 2: Convert to fraction form
    30,105.94/65,574.38 = 65,574.38/x
  3. Step 3: Cross multiply
    30,105.94x = 65,574.38 × 65,574.38
  4. Step 4: Simplify right side
    30,105.94x = 4,299,998,656.64
  5. Step 5: Solve for x
    x = 4,299,998,656.64/30,105.94
  6. Step 6: Final answer
    x = 142,828.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.