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Finding the Third Proportional to 27,815.91 and 61,851.09

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Solution

The third proportional to 27,815.91 and 61,851.09 is: 137,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,815.91 : 61,851.09 = 61,851.09 : x
  2. Step 2: Convert to fraction form
    27,815.91/61,851.09 = 61,851.09/x
  3. Step 3: Cross multiply
    27,815.91x = 61,851.09 × 61,851.09
  4. Step 4: Simplify right side
    27,815.91x = 3,825,557,798.07
  5. Step 5: Solve for x
    x = 3,825,557,798.07/27,815.91
  6. Step 6: Final answer
    x = 137,531.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.