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Finding the Third Proportional to 27,014.77 and 39,646.13

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Solution

The third proportional to 27,014.77 and 39,646.13 is: 58,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,014.77 : 39,646.13 = 39,646.13 : x
  2. Step 2: Convert to fraction form
    27,014.77/39,646.13 = 39,646.13/x
  3. Step 3: Cross multiply
    27,014.77x = 39,646.13 × 39,646.13
  4. Step 4: Simplify right side
    27,014.77x = 1,571,815,227.52
  5. Step 5: Solve for x
    x = 1,571,815,227.52/27,014.77
  6. Step 6: Final answer
    x = 58,183.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.