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Finding the Third Proportional to 7,873.19 and 17,282.19

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Solution

The third proportional to 7,873.19 and 17,282.19 is: 37,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.19 : 17,282.19 = 17,282.19 : x
  2. Step 2: Convert to fraction form
    7,873.19/17,282.19 = 17,282.19/x
  3. Step 3: Cross multiply
    7,873.19x = 17,282.19 × 17,282.19
  4. Step 4: Simplify right side
    7,873.19x = 298,674,004.79
  5. Step 5: Solve for x
    x = 298,674,004.79/7,873.19
  6. Step 6: Final answer
    x = 37,935.59

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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.