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Finding the Third Proportional to 34,551 and 53,353

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Solution

The third proportional to 34,551 and 53,353 is: 82,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,551 : 53,353 = 53,353 : x
  2. Step 2: Convert to fraction form
    34,551/53,353 = 53,353/x
  3. Step 3: Cross multiply
    34,551x = 53,353 × 53,353
  4. Step 4: Simplify right side
    34,551x = 2,846,542,609
  5. Step 5: Solve for x
    x = 2,846,542,609/34,551
  6. Step 6: Final answer
    x = 82,386.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.