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Finding the Third Proportional to 14,104.13 and 19,617.19

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Solution

The third proportional to 14,104.13 and 19,617.19 is: 27,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.13 : 19,617.19 = 19,617.19 : x
  2. Step 2: Convert to fraction form
    14,104.13/19,617.19 = 19,617.19/x
  3. Step 3: Cross multiply
    14,104.13x = 19,617.19 × 19,617.19
  4. Step 4: Simplify right side
    14,104.13x = 384,834,045.41
  5. Step 5: Solve for x
    x = 384,834,045.41/14,104.13
  6. Step 6: Final answer
    x = 27,285.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.