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Finding the Third Proportional to 13,066.25 and 19,721

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Solution

The third proportional to 13,066.25 and 19,721 is: 29,765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.25 : 19,721 = 19,721 : x
  2. Step 2: Convert to fraction form
    13,066.25/19,721 = 19,721/x
  3. Step 3: Cross multiply
    13,066.25x = 19,721 × 19,721
  4. Step 4: Simplify right side
    13,066.25x = 388,917,841
  5. Step 5: Solve for x
    x = 388,917,841/13,066.25
  6. Step 6: Final answer
    x = 29,765.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.