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Finding the Third Proportional to 7,836.61 and 17,101.27

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Solution

The third proportional to 7,836.61 and 17,101.27 is: 37,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.61 : 17,101.27 = 17,101.27 : x
  2. Step 2: Convert to fraction form
    7,836.61/17,101.27 = 17,101.27/x
  3. Step 3: Cross multiply
    7,836.61x = 17,101.27 × 17,101.27
  4. Step 4: Simplify right side
    7,836.61x = 292,453,285.98
  5. Step 5: Solve for x
    x = 292,453,285.98/7,836.61
  6. Step 6: Final answer
    x = 37,318.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.