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Finding the Third Proportional to 34,976 and 54,556

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Solution

The third proportional to 34,976 and 54,556 is: 85,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,976 : 54,556 = 54,556 : x
  2. Step 2: Convert to fraction form
    34,976/54,556 = 54,556/x
  3. Step 3: Cross multiply
    34,976x = 54,556 × 54,556
  4. Step 4: Simplify right side
    34,976x = 2,976,357,136
  5. Step 5: Solve for x
    x = 2,976,357,136/34,976
  6. Step 6: Final answer
    x = 85,097.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.