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Finding the Third Proportional to 15,288.38 and 21,811.88

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Solution

The third proportional to 15,288.38 and 21,811.88 is: 31,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,288.38 : 21,811.88 = 21,811.88 : x
  2. Step 2: Convert to fraction form
    15,288.38/21,811.88 = 21,811.88/x
  3. Step 3: Cross multiply
    15,288.38x = 21,811.88 × 21,811.88
  4. Step 4: Simplify right side
    15,288.38x = 475,757,891.02
  5. Step 5: Solve for x
    x = 475,757,891.02/15,288.38
  6. Step 6: Final answer
    x = 31,118.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.