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Finding the Third Proportional to 7,570.97 and 16,448.06

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Solution

The third proportional to 7,570.97 and 16,448.06 is: 35,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.97 : 16,448.06 = 16,448.06 : x
  2. Step 2: Convert to fraction form
    7,570.97/16,448.06 = 16,448.06/x
  3. Step 3: Cross multiply
    7,570.97x = 16,448.06 × 16,448.06
  4. Step 4: Simplify right side
    7,570.97x = 270,538,760.00
  5. Step 5: Solve for x
    x = 270,538,760.00/7,570.97
  6. Step 6: Final answer
    x = 35,733.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.