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Finding the Third Proportional to 34,438 and 53,214

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Solution

The third proportional to 34,438 and 53,214 is: 82,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,438 : 53,214 = 53,214 : x
  2. Step 2: Convert to fraction form
    34,438/53,214 = 53,214/x
  3. Step 3: Cross multiply
    34,438x = 53,214 × 53,214
  4. Step 4: Simplify right side
    34,438x = 2,831,729,796
  5. Step 5: Solve for x
    x = 2,831,729,796/34,438
  6. Step 6: Final answer
    x = 82,226.89

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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.