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Finding the Third Proportional to 32,244 and 47,751

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Solution

The third proportional to 32,244 and 47,751 is: 70,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,244 : 47,751 = 47,751 : x
  2. Step 2: Convert to fraction form
    32,244/47,751 = 47,751/x
  3. Step 3: Cross multiply
    32,244x = 47,751 × 47,751
  4. Step 4: Simplify right side
    32,244x = 2,280,158,001
  5. Step 5: Solve for x
    x = 2,280,158,001/32,244
  6. Step 6: Final answer
    x = 70,715.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.