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Finding the Third Proportional to 29,214 and 47,464

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Solution

The third proportional to 29,214 and 47,464 is: 77,114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214 : 47,464 = 47,464 : x
  2. Step 2: Convert to fraction form
    29,214/47,464 = 47,464/x
  3. Step 3: Cross multiply
    29,214x = 47,464 × 47,464
  4. Step 4: Simplify right side
    29,214x = 2,252,831,296
  5. Step 5: Solve for x
    x = 2,252,831,296/29,214
  6. Step 6: Final answer
    x = 77,114.78

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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.