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Finding the Third Proportional to 14,127.66 and 19,186.59

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Solution

The third proportional to 14,127.66 and 19,186.59 is: 26,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.66 : 19,186.59 = 19,186.59 : x
  2. Step 2: Convert to fraction form
    14,127.66/19,186.59 = 19,186.59/x
  3. Step 3: Cross multiply
    14,127.66x = 19,186.59 × 19,186.59
  4. Step 4: Simplify right side
    14,127.66x = 368,125,379.73
  5. Step 5: Solve for x
    x = 368,125,379.73/14,127.66
  6. Step 6: Final answer
    x = 26,057.07

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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.