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Finding the Third Proportional to 34,354 and 54,647

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Solution

The third proportional to 34,354 and 54,647 is: 86,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,354 : 54,647 = 54,647 : x
  2. Step 2: Convert to fraction form
    34,354/54,647 = 54,647/x
  3. Step 3: Cross multiply
    34,354x = 54,647 × 54,647
  4. Step 4: Simplify right side
    34,354x = 2,986,294,609
  5. Step 5: Solve for x
    x = 2,986,294,609/34,354
  6. Step 6: Final answer
    x = 86,927.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.