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Finding the Third Proportional to 30,268.69 and 59,761.13

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Solution

The third proportional to 30,268.69 and 59,761.13 is: 117,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.69 : 59,761.13 = 59,761.13 : x
  2. Step 2: Convert to fraction form
    30,268.69/59,761.13 = 59,761.13/x
  3. Step 3: Cross multiply
    30,268.69x = 59,761.13 × 59,761.13
  4. Step 4: Simplify right side
    30,268.69x = 3,571,392,061.27
  5. Step 5: Solve for x
    x = 3,571,392,061.27/30,268.69
  6. Step 6: Final answer
    x = 117,989.66

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.