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Finding the Third Proportional to 27,406.69 and 59,043.94

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Solution

The third proportional to 27,406.69 and 59,043.94 is: 127,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.69 : 59,043.94 = 59,043.94 : x
  2. Step 2: Convert to fraction form
    27,406.69/59,043.94 = 59,043.94/x
  3. Step 3: Cross multiply
    27,406.69x = 59,043.94 × 59,043.94
  4. Step 4: Simplify right side
    27,406.69x = 3,486,186,555.50
  5. Step 5: Solve for x
    x = 3,486,186,555.50/27,406.69
  6. Step 6: Final answer
    x = 127,202.04

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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.