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Finding the Third Proportional to 3,719.93 and 8,009.30

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Solution

The third proportional to 3,719.93 and 8,009.30 is: 17,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.93 : 8,009.30 = 8,009.30 : x
  2. Step 2: Convert to fraction form
    3,719.93/8,009.30 = 8,009.30/x
  3. Step 3: Cross multiply
    3,719.93x = 8,009.30 × 8,009.30
  4. Step 4: Simplify right side
    3,719.93x = 64,148,889.23
  5. Step 5: Solve for x
    x = 64,148,889.23/3,719.93
  6. Step 6: Final answer
    x = 17,244.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.