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Finding the Third Proportional to 23,662.13 and 51,013.13

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Solution

The third proportional to 23,662.13 and 51,013.13 is: 109,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.13 : 51,013.13 = 51,013.13 : x
  2. Step 2: Convert to fraction form
    23,662.13/51,013.13 = 51,013.13/x
  3. Step 3: Cross multiply
    23,662.13x = 51,013.13 × 51,013.13
  4. Step 4: Simplify right side
    23,662.13x = 2,602,338,922.27
  5. Step 5: Solve for x
    x = 2,602,338,922.27/23,662.13
  6. Step 6: Final answer
    x = 109,979.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.