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Finding the Third Proportional to 31,914.75 and 48,736.13

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Solution

The third proportional to 31,914.75 and 48,736.13 is: 74,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914.75 : 48,736.13 = 48,736.13 : x
  2. Step 2: Convert to fraction form
    31,914.75/48,736.13 = 48,736.13/x
  3. Step 3: Cross multiply
    31,914.75x = 48,736.13 × 48,736.13
  4. Step 4: Simplify right side
    31,914.75x = 2,375,209,880.02
  5. Step 5: Solve for x
    x = 2,375,209,880.02/31,914.75
  6. Step 6: Final answer
    x = 74,423.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.