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Finding the Third Proportional to 34,082 and 53,475

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Solution

The third proportional to 34,082 and 53,475 is: 83,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,082 : 53,475 = 53,475 : x
  2. Step 2: Convert to fraction form
    34,082/53,475 = 53,475/x
  3. Step 3: Cross multiply
    34,082x = 53,475 × 53,475
  4. Step 4: Simplify right side
    34,082x = 2,859,575,625
  5. Step 5: Solve for x
    x = 2,859,575,625/34,082
  6. Step 6: Final answer
    x = 83,902.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.