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Finding the Third Proportional to 3,824.72 and 8,036.72

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Solution

The third proportional to 3,824.72 and 8,036.72 is: 16,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.72 : 8,036.72 = 8,036.72 : x
  2. Step 2: Convert to fraction form
    3,824.72/8,036.72 = 8,036.72/x
  3. Step 3: Cross multiply
    3,824.72x = 8,036.72 × 8,036.72
  4. Step 4: Simplify right side
    3,824.72x = 64,588,848.27
  5. Step 5: Solve for x
    x = 64,588,848.27/3,824.72
  6. Step 6: Final answer
    x = 16,887.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.