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Finding the Third Proportional to 14,134.38 and 19,195.63

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Solution

The third proportional to 14,134.38 and 19,195.63 is: 26,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.38 : 19,195.63 = 19,195.63 : x
  2. Step 2: Convert to fraction form
    14,134.38/19,195.63 = 19,195.63/x
  3. Step 3: Cross multiply
    14,134.38x = 19,195.63 × 19,195.63
  4. Step 4: Simplify right side
    14,134.38x = 368,472,019.14
  5. Step 5: Solve for x
    x = 368,472,019.14/14,134.38
  6. Step 6: Final answer
    x = 26,069.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.