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Finding the Third Proportional to 34,854 and 54,009

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Solution

The third proportional to 34,854 and 54,009 is: 83,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,854 : 54,009 = 54,009 : x
  2. Step 2: Convert to fraction form
    34,854/54,009 = 54,009/x
  3. Step 3: Cross multiply
    34,854x = 54,009 × 54,009
  4. Step 4: Simplify right side
    34,854x = 2,916,972,081
  5. Step 5: Solve for x
    x = 2,916,972,081/34,854
  6. Step 6: Final answer
    x = 83,691.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.