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Finding the Third Proportional to 29,724 and 47,794.50

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Solution

The third proportional to 29,724 and 47,794.50 is: 76,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,724 : 47,794.50 = 47,794.50 : x
  2. Step 2: Convert to fraction form
    29,724/47,794.50 = 47,794.50/x
  3. Step 3: Cross multiply
    29,724x = 47,794.50 × 47,794.50
  4. Step 4: Simplify right side
    29,724x = 2,284,314,230.25
  5. Step 5: Solve for x
    x = 2,284,314,230.25/29,724
  6. Step 6: Final answer
    x = 76,850.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.