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Finding the Third Proportional to 27,901.50 and 40,618.50

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Solution

The third proportional to 27,901.50 and 40,618.50 is: 59,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,901.50 : 40,618.50 = 40,618.50 : x
  2. Step 2: Convert to fraction form
    27,901.50/40,618.50 = 40,618.50/x
  3. Step 3: Cross multiply
    27,901.50x = 40,618.50 × 40,618.50
  4. Step 4: Simplify right side
    27,901.50x = 1,649,862,542.25
  5. Step 5: Solve for x
    x = 1,649,862,542.25/27,901.50
  6. Step 6: Final answer
    x = 59,131.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.