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Finding the Third Proportional to 27,180.09 and 40,643.53

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Solution

The third proportional to 27,180.09 and 40,643.53 is: 60,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180.09 : 40,643.53 = 40,643.53 : x
  2. Step 2: Convert to fraction form
    27,180.09/40,643.53 = 40,643.53/x
  3. Step 3: Cross multiply
    27,180.09x = 40,643.53 × 40,643.53
  4. Step 4: Simplify right side
    27,180.09x = 1,651,896,632.47
  5. Step 5: Solve for x
    x = 1,651,896,632.47/27,180.09
  6. Step 6: Final answer
    x = 60,775.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.