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Finding the Third Proportional to 14,249.81 and 21,294.94

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Solution

The third proportional to 14,249.81 and 21,294.94 is: 31,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.81 : 21,294.94 = 21,294.94 : x
  2. Step 2: Convert to fraction form
    14,249.81/21,294.94 = 21,294.94/x
  3. Step 3: Cross multiply
    14,249.81x = 21,294.94 × 21,294.94
  4. Step 4: Simplify right side
    14,249.81x = 453,474,363.13
  5. Step 5: Solve for x
    x = 453,474,363.13/14,249.81
  6. Step 6: Final answer
    x = 31,823.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.