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Finding the Third Proportional to 7,883.02 and 11,857.64

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Solution

The third proportional to 7,883.02 and 11,857.64 is: 17,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.02 : 11,857.64 = 11,857.64 : x
  2. Step 2: Convert to fraction form
    7,883.02/11,857.64 = 11,857.64/x
  3. Step 3: Cross multiply
    7,883.02x = 11,857.64 × 11,857.64
  4. Step 4: Simplify right side
    7,883.02x = 140,603,641.19
  5. Step 5: Solve for x
    x = 140,603,641.19/7,883.02
  6. Step 6: Final answer
    x = 17,836.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.