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Finding the Third Proportional to 27,026.16 and 58,965.47

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Solution

The third proportional to 27,026.16 and 58,965.47 is: 128,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,026.16 : 58,965.47 = 58,965.47 : x
  2. Step 2: Convert to fraction form
    27,026.16/58,965.47 = 58,965.47/x
  3. Step 3: Cross multiply
    27,026.16x = 58,965.47 × 58,965.47
  4. Step 4: Simplify right side
    27,026.16x = 3,476,926,504.91
  5. Step 5: Solve for x
    x = 3,476,926,504.91/27,026.16
  6. Step 6: Final answer
    x = 128,650.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.