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Finding the Third Proportional to 15,797.25 and 35,095.50

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Solution

The third proportional to 15,797.25 and 35,095.50 is: 77,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797.25 : 35,095.50 = 35,095.50 : x
  2. Step 2: Convert to fraction form
    15,797.25/35,095.50 = 35,095.50/x
  3. Step 3: Cross multiply
    15,797.25x = 35,095.50 × 35,095.50
  4. Step 4: Simplify right side
    15,797.25x = 1,231,694,120.25
  5. Step 5: Solve for x
    x = 1,231,694,120.25/15,797.25
  6. Step 6: Final answer
    x = 77,968.89

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