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Finding the Third Proportional to 27,240.75 and 41,653.50

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Solution

The third proportional to 27,240.75 and 41,653.50 is: 63,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,240.75 : 41,653.50 = 41,653.50 : x
  2. Step 2: Convert to fraction form
    27,240.75/41,653.50 = 41,653.50/x
  3. Step 3: Cross multiply
    27,240.75x = 41,653.50 × 41,653.50
  4. Step 4: Simplify right side
    27,240.75x = 1,735,014,062.25
  5. Step 5: Solve for x
    x = 1,735,014,062.25/27,240.75
  6. Step 6: Final answer
    x = 63,691.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.