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Finding the Third Proportional to 27,434.53 and 58,962.09

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Solution

The third proportional to 27,434.53 and 58,962.09 is: 126,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,434.53 : 58,962.09 = 58,962.09 : x
  2. Step 2: Convert to fraction form
    27,434.53/58,962.09 = 58,962.09/x
  3. Step 3: Cross multiply
    27,434.53x = 58,962.09 × 58,962.09
  4. Step 4: Simplify right side
    27,434.53x = 3,476,528,499.38
  5. Step 5: Solve for x
    x = 3,476,528,499.38/27,434.53
  6. Step 6: Final answer
    x = 126,720.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.