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Finding the Third Proportional to 37,097.88 and 87,486.38

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Solution

The third proportional to 37,097.88 and 87,486.38 is: 206,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097.88 : 87,486.38 = 87,486.38 : x
  2. Step 2: Convert to fraction form
    37,097.88/87,486.38 = 87,486.38/x
  3. Step 3: Cross multiply
    37,097.88x = 87,486.38 × 87,486.38
  4. Step 4: Simplify right side
    37,097.88x = 7,653,865,810.64
  5. Step 5: Solve for x
    x = 7,653,865,810.64/37,097.88
  6. Step 6: Final answer
    x = 206,315.48

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.