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Finding the Third Proportional to 23,347.75 and 34,939

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Solution

The third proportional to 23,347.75 and 34,939 is: 52,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,347.75 : 34,939 = 34,939 : x
  2. Step 2: Convert to fraction form
    23,347.75/34,939 = 34,939/x
  3. Step 3: Cross multiply
    23,347.75x = 34,939 × 34,939
  4. Step 4: Simplify right side
    23,347.75x = 1,220,733,721
  5. Step 5: Solve for x
    x = 1,220,733,721/23,347.75
  6. Step 6: Final answer
    x = 52,284.85

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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.