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Finding the Third Proportional to 29,216 and 47,467

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Solution

The third proportional to 29,216 and 47,467 is: 77,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,216 : 47,467 = 47,467 : x
  2. Step 2: Convert to fraction form
    29,216/47,467 = 47,467/x
  3. Step 3: Cross multiply
    29,216x = 47,467 × 47,467
  4. Step 4: Simplify right side
    29,216x = 2,253,116,089
  5. Step 5: Solve for x
    x = 2,253,116,089/29,216
  6. Step 6: Final answer
    x = 77,119.25

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.