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Finding the Third Proportional to 7,992.11 and 12,537.04

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Solution

The third proportional to 7,992.11 and 12,537.04 is: 19,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.11 : 12,537.04 = 12,537.04 : x
  2. Step 2: Convert to fraction form
    7,992.11/12,537.04 = 12,537.04/x
  3. Step 3: Cross multiply
    7,992.11x = 12,537.04 × 12,537.04
  4. Step 4: Simplify right side
    7,992.11x = 157,177,470.89
  5. Step 5: Solve for x
    x = 157,177,470.89/7,992.11
  6. Step 6: Final answer
    x = 19,666.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.