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Finding the Third Proportional to 34,366 and 53,212

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Solution

The third proportional to 34,366 and 53,212 is: 82,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,366 : 53,212 = 53,212 : x
  2. Step 2: Convert to fraction form
    34,366/53,212 = 53,212/x
  3. Step 3: Cross multiply
    34,366x = 53,212 × 53,212
  4. Step 4: Simplify right side
    34,366x = 2,831,516,944
  5. Step 5: Solve for x
    x = 2,831,516,944/34,366
  6. Step 6: Final answer
    x = 82,392.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.