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Finding the Third Proportional to 15,992.44 and 31,438.13

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Solution

The third proportional to 15,992.44 and 31,438.13 is: 61,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992.44 : 31,438.13 = 31,438.13 : x
  2. Step 2: Convert to fraction form
    15,992.44/31,438.13 = 31,438.13/x
  3. Step 3: Cross multiply
    15,992.44x = 31,438.13 × 31,438.13
  4. Step 4: Simplify right side
    15,992.44x = 988,355,703.52
  5. Step 5: Solve for x
    x = 988,355,703.52/15,992.44
  6. Step 6: Final answer
    x = 61,801.44

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.