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Finding the Third Proportional to 27,741.87 and 43,472.32

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Solution

The third proportional to 27,741.87 and 43,472.32 is: 68,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,741.87 : 43,472.32 = 43,472.32 : x
  2. Step 2: Convert to fraction form
    27,741.87/43,472.32 = 43,472.32/x
  3. Step 3: Cross multiply
    27,741.87x = 43,472.32 × 43,472.32
  4. Step 4: Simplify right side
    27,741.87x = 1,889,842,633.35
  5. Step 5: Solve for x
    x = 1,889,842,633.35/27,741.87
  6. Step 6: Final answer
    x = 68,122.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.