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Finding the Third Proportional to 27,180.56 and 40,932.84

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Solution

The third proportional to 27,180.56 and 40,932.84 is: 61,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180.56 : 40,932.84 = 40,932.84 : x
  2. Step 2: Convert to fraction form
    27,180.56/40,932.84 = 40,932.84/x
  3. Step 3: Cross multiply
    27,180.56x = 40,932.84 × 40,932.84
  4. Step 4: Simplify right side
    27,180.56x = 1,675,497,697.46
  5. Step 5: Solve for x
    x = 1,675,497,697.46/27,180.56
  6. Step 6: Final answer
    x = 61,643.23

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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.