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Finding the Third Proportional to 27,015.61 and 43,406.72

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Solution

The third proportional to 27,015.61 and 43,406.72 is: 69,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,015.61 : 43,406.72 = 43,406.72 : x
  2. Step 2: Convert to fraction form
    27,015.61/43,406.72 = 43,406.72/x
  3. Step 3: Cross multiply
    27,015.61x = 43,406.72 × 43,406.72
  4. Step 4: Simplify right side
    27,015.61x = 1,884,143,232.64
  5. Step 5: Solve for x
    x = 1,884,143,232.64/27,015.61
  6. Step 6: Final answer
    x = 69,742.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.