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Finding the Third Proportional to 27,145.13 and 39,502.69

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Solution

The third proportional to 27,145.13 and 39,502.69 is: 57,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,145.13 : 39,502.69 = 39,502.69 : x
  2. Step 2: Convert to fraction form
    27,145.13/39,502.69 = 39,502.69/x
  3. Step 3: Cross multiply
    27,145.13x = 39,502.69 × 39,502.69
  4. Step 4: Simplify right side
    27,145.13x = 1,560,462,319.72
  5. Step 5: Solve for x
    x = 1,560,462,319.72/27,145.13
  6. Step 6: Final answer
    x = 57,485.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.