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Finding the Third Proportional to 17,827.13 and 31,280.06

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Solution

The third proportional to 17,827.13 and 31,280.06 is: 54,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.13 : 31,280.06 = 31,280.06 : x
  2. Step 2: Convert to fraction form
    17,827.13/31,280.06 = 31,280.06/x
  3. Step 3: Cross multiply
    17,827.13x = 31,280.06 × 31,280.06
  4. Step 4: Simplify right side
    17,827.13x = 978,442,310.00
  5. Step 5: Solve for x
    x = 978,442,310.00/17,827.13
  6. Step 6: Final answer
    x = 54,885.03

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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.