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Finding the Third Proportional to 7,112.02 and 14,992.91

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Solution

The third proportional to 7,112.02 and 14,992.91 is: 31,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.02 : 14,992.91 = 14,992.91 : x
  2. Step 2: Convert to fraction form
    7,112.02/14,992.91 = 14,992.91/x
  3. Step 3: Cross multiply
    7,112.02x = 14,992.91 × 14,992.91
  4. Step 4: Simplify right side
    7,112.02x = 224,787,354.95
  5. Step 5: Solve for x
    x = 224,787,354.95/7,112.02
  6. Step 6: Final answer
    x = 31,606.68

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.