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Finding the Third Proportional to 27,417 and 41,327.25

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Solution

The third proportional to 27,417 and 41,327.25 is: 62,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417 : 41,327.25 = 41,327.25 : x
  2. Step 2: Convert to fraction form
    27,417/41,327.25 = 41,327.25/x
  3. Step 3: Cross multiply
    27,417x = 41,327.25 × 41,327.25
  4. Step 4: Simplify right side
    27,417x = 1,707,941,592.56
  5. Step 5: Solve for x
    x = 1,707,941,592.56/27,417
  6. Step 6: Final answer
    x = 62,294.98

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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.