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Finding the Third Proportional to 27,420.75 and 41,468.63

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Solution

The third proportional to 27,420.75 and 41,468.63 is: 62,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.75 : 41,468.63 = 41,468.63 : x
  2. Step 2: Convert to fraction form
    27,420.75/41,468.63 = 41,468.63/x
  3. Step 3: Cross multiply
    27,420.75x = 41,468.63 × 41,468.63
  4. Step 4: Simplify right side
    27,420.75x = 1,719,646,859.39
  5. Step 5: Solve for x
    x = 1,719,646,859.39/27,420.75
  6. Step 6: Final answer
    x = 62,713.34

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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.