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Finding the Third Proportional to 27,064.13 and 39,776.06

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Solution

The third proportional to 27,064.13 and 39,776.06 is: 58,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.13 : 39,776.06 = 39,776.06 : x
  2. Step 2: Convert to fraction form
    27,064.13/39,776.06 = 39,776.06/x
  3. Step 3: Cross multiply
    27,064.13x = 39,776.06 × 39,776.06
  4. Step 4: Simplify right side
    27,064.13x = 1,582,135,148.00
  5. Step 5: Solve for x
    x = 1,582,135,148.00/27,064.13
  6. Step 6: Final answer
    x = 58,458.76

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