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Finding the Third Proportional to 45,563.13 and 68,344.38

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Solution

The third proportional to 45,563.13 and 68,344.38 is: 102,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,563.13 : 68,344.38 = 68,344.38 : x
  2. Step 2: Convert to fraction form
    45,563.13/68,344.38 = 68,344.38/x
  3. Step 3: Cross multiply
    45,563.13x = 68,344.38 × 68,344.38
  4. Step 4: Simplify right side
    45,563.13x = 4,670,954,662.02
  5. Step 5: Solve for x
    x = 4,670,954,662.02/45,563.13
  6. Step 6: Final answer
    x = 102,516.10

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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.