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Finding the Third Proportional to 34,654 and 55,809

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Solution

The third proportional to 34,654 and 55,809 is: 89,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654 : 55,809 = 55,809 : x
  2. Step 2: Convert to fraction form
    34,654/55,809 = 55,809/x
  3. Step 3: Cross multiply
    34,654x = 55,809 × 55,809
  4. Step 4: Simplify right side
    34,654x = 3,114,644,481
  5. Step 5: Solve for x
    x = 3,114,644,481/34,654
  6. Step 6: Final answer
    x = 89,878.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.