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Finding the Third Proportional to 32,467 and 48,913

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Solution

The third proportional to 32,467 and 48,913 is: 73,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467 : 48,913 = 48,913 : x
  2. Step 2: Convert to fraction form
    32,467/48,913 = 48,913/x
  3. Step 3: Cross multiply
    32,467x = 48,913 × 48,913
  4. Step 4: Simplify right side
    32,467x = 2,392,481,569
  5. Step 5: Solve for x
    x = 2,392,481,569/32,467
  6. Step 6: Final answer
    x = 73,689.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.