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Finding the Third Proportional to 34,461 and 53,241

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Solution

The third proportional to 34,461 and 53,241 is: 82,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,461 : 53,241 = 53,241 : x
  2. Step 2: Convert to fraction form
    34,461/53,241 = 53,241/x
  3. Step 3: Cross multiply
    34,461x = 53,241 × 53,241
  4. Step 4: Simplify right side
    34,461x = 2,834,604,081
  5. Step 5: Solve for x
    x = 2,834,604,081/34,461
  6. Step 6: Final answer
    x = 82,255.42

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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.