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Finding the Third Proportional to 12,749.44 and 27,617.25

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Solution

The third proportional to 12,749.44 and 27,617.25 is: 59,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749.44 : 27,617.25 = 27,617.25 : x
  2. Step 2: Convert to fraction form
    12,749.44/27,617.25 = 27,617.25/x
  3. Step 3: Cross multiply
    12,749.44x = 27,617.25 × 27,617.25
  4. Step 4: Simplify right side
    12,749.44x = 762,712,497.56
  5. Step 5: Solve for x
    x = 762,712,497.56/12,749.44
  6. Step 6: Final answer
    x = 59,823.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.