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Finding the Third Proportional to 29,809 and 47,629.50

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Solution

The third proportional to 29,809 and 47,629.50 is: 76,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,809 : 47,629.50 = 47,629.50 : x
  2. Step 2: Convert to fraction form
    29,809/47,629.50 = 47,629.50/x
  3. Step 3: Cross multiply
    29,809x = 47,629.50 × 47,629.50
  4. Step 4: Simplify right side
    29,809x = 2,268,569,270.25
  5. Step 5: Solve for x
    x = 2,268,569,270.25/29,809
  6. Step 6: Final answer
    x = 76,103.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.