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Finding the Third Proportional to 14,078 and 19,798

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Solution

The third proportional to 14,078 and 19,798 is: 27,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078 : 19,798 = 19,798 : x
  2. Step 2: Convert to fraction form
    14,078/19,798 = 19,798/x
  3. Step 3: Cross multiply
    14,078x = 19,798 × 19,798
  4. Step 4: Simplify right side
    14,078x = 391,960,804
  5. Step 5: Solve for x
    x = 391,960,804/14,078
  6. Step 6: Final answer
    x = 27,842.08

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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.