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Finding the Third Proportional to 14,091.19 and 21,097.97

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Solution

The third proportional to 14,091.19 and 21,097.97 is: 31,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.19 : 21,097.97 = 21,097.97 : x
  2. Step 2: Convert to fraction form
    14,091.19/21,097.97 = 21,097.97/x
  3. Step 3: Cross multiply
    14,091.19x = 21,097.97 × 21,097.97
  4. Step 4: Simplify right side
    14,091.19x = 445,124,285.38
  5. Step 5: Solve for x
    x = 445,124,285.38/14,091.19
  6. Step 6: Final answer
    x = 31,588.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.