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Finding the Third Proportional to 29,715.75 and 52,845.75

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Solution

The third proportional to 29,715.75 and 52,845.75 is: 93,979.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,715.75 : 52,845.75 = 52,845.75 : x
  2. Step 2: Convert to fraction form
    29,715.75/52,845.75 = 52,845.75/x
  3. Step 3: Cross multiply
    29,715.75x = 52,845.75 × 52,845.75
  4. Step 4: Simplify right side
    29,715.75x = 2,792,673,293.06
  5. Step 5: Solve for x
    x = 2,792,673,293.06/29,715.75
  6. Step 6: Final answer
    x = 93,979.57

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.