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Finding the Third Proportional to 12,992.25 and 20,248.88

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Solution

The third proportional to 12,992.25 and 20,248.88 is: 31,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.25 : 20,248.88 = 20,248.88 : x
  2. Step 2: Convert to fraction form
    12,992.25/20,248.88 = 20,248.88/x
  3. Step 3: Cross multiply
    12,992.25x = 20,248.88 × 20,248.88
  4. Step 4: Simplify right side
    12,992.25x = 410,016,938.77
  5. Step 5: Solve for x
    x = 410,016,938.77/12,992.25
  6. Step 6: Final answer
    x = 31,558.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.