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Finding the Third Proportional to 16,999.88 and 25,653.38

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Solution

The third proportional to 16,999.88 and 25,653.38 is: 38,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999.88 : 25,653.38 = 25,653.38 : x
  2. Step 2: Convert to fraction form
    16,999.88/25,653.38 = 25,653.38/x
  3. Step 3: Cross multiply
    16,999.88x = 25,653.38 × 25,653.38
  4. Step 4: Simplify right side
    16,999.88x = 658,095,648.89
  5. Step 5: Solve for x
    x = 658,095,648.89/16,999.88
  6. Step 6: Final answer
    x = 38,711.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.