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Finding the Third Proportional to 34,762 and 53,851

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Solution

The third proportional to 34,762 and 53,851 is: 83,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,762 : 53,851 = 53,851 : x
  2. Step 2: Convert to fraction form
    34,762/53,851 = 53,851/x
  3. Step 3: Cross multiply
    34,762x = 53,851 × 53,851
  4. Step 4: Simplify right side
    34,762x = 2,899,930,201
  5. Step 5: Solve for x
    x = 2,899,930,201/34,762
  6. Step 6: Final answer
    x = 83,422.42

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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.