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Finding the Third Proportional to 19,860 and 27,356

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Solution

The third proportional to 19,860 and 27,356 is: 37,681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,860 : 27,356 = 27,356 : x
  2. Step 2: Convert to fraction form
    19,860/27,356 = 27,356/x
  3. Step 3: Cross multiply
    19,860x = 27,356 × 27,356
  4. Step 4: Simplify right side
    19,860x = 748,350,736
  5. Step 5: Solve for x
    x = 748,350,736/19,860
  6. Step 6: Final answer
    x = 37,681.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.