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Finding the Third Proportional to 14,383.13 and 31,296.38

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Solution

The third proportional to 14,383.13 and 31,296.38 is: 68,098.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.13 : 31,296.38 = 31,296.38 : x
  2. Step 2: Convert to fraction form
    14,383.13/31,296.38 = 31,296.38/x
  3. Step 3: Cross multiply
    14,383.13x = 31,296.38 × 31,296.38
  4. Step 4: Simplify right side
    14,383.13x = 979,463,088.14
  5. Step 5: Solve for x
    x = 979,463,088.14/14,383.13
  6. Step 6: Final answer
    x = 68,098.07

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Why These Related Problems?

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