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Finding the Third Proportional to 27,779.25 and 61,097.06

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Solution

The third proportional to 27,779.25 and 61,097.06 is: 134,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,779.25 : 61,097.06 = 61,097.06 : x
  2. Step 2: Convert to fraction form
    27,779.25/61,097.06 = 61,097.06/x
  3. Step 3: Cross multiply
    27,779.25x = 61,097.06 × 61,097.06
  4. Step 4: Simplify right side
    27,779.25x = 3,732,851,046.13
  5. Step 5: Solve for x
    x = 3,732,851,046.13/27,779.25
  6. Step 6: Final answer
    x = 134,375.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.