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Finding the Third Proportional to 34,529 and 53,321

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Solution

The third proportional to 34,529 and 53,321 is: 82,340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,529 : 53,321 = 53,321 : x
  2. Step 2: Convert to fraction form
    34,529/53,321 = 53,321/x
  3. Step 3: Cross multiply
    34,529x = 53,321 × 53,321
  4. Step 4: Simplify right side
    34,529x = 2,843,129,041
  5. Step 5: Solve for x
    x = 2,843,129,041/34,529
  6. Step 6: Final answer
    x = 82,340.32

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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.