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Finding the Third Proportional to 27,045 and 40,341.75

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Solution

The third proportional to 27,045 and 40,341.75 is: 60,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,045 : 40,341.75 = 40,341.75 : x
  2. Step 2: Convert to fraction form
    27,045/40,341.75 = 40,341.75/x
  3. Step 3: Cross multiply
    27,045x = 40,341.75 × 40,341.75
  4. Step 4: Simplify right side
    27,045x = 1,627,456,793.06
  5. Step 5: Solve for x
    x = 1,627,456,793.06/27,045
  6. Step 6: Final answer
    x = 60,175.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.