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Finding the Third Proportional to 14,060.39 and 19,774.97

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Solution

The third proportional to 14,060.39 and 19,774.97 is: 27,812.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,060.39 : 19,774.97 = 19,774.97 : x
  2. Step 2: Convert to fraction form
    14,060.39/19,774.97 = 19,774.97/x
  3. Step 3: Cross multiply
    14,060.39x = 19,774.97 × 19,774.97
  4. Step 4: Simplify right side
    14,060.39x = 391,049,389.06
  5. Step 5: Solve for x
    x = 391,049,389.06/14,060.39
  6. Step 6: Final answer
    x = 27,812.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.