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Finding the Third Proportional to 27,179.72 and 38,275.03

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Solution

The third proportional to 27,179.72 and 38,275.03 is: 53,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,179.72 : 38,275.03 = 38,275.03 : x
  2. Step 2: Convert to fraction form
    27,179.72/38,275.03 = 38,275.03/x
  3. Step 3: Cross multiply
    27,179.72x = 38,275.03 × 38,275.03
  4. Step 4: Simplify right side
    27,179.72x = 1,464,978,017.19
  5. Step 5: Solve for x
    x = 1,464,978,017.19/27,179.72
  6. Step 6: Final answer
    x = 53,899.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.