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Finding the Third Proportional to 35,214 and 54,609

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Solution

The third proportional to 35,214 and 54,609 is: 84,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,214 : 54,609 = 54,609 : x
  2. Step 2: Convert to fraction form
    35,214/54,609 = 54,609/x
  3. Step 3: Cross multiply
    35,214x = 54,609 × 54,609
  4. Step 4: Simplify right side
    35,214x = 2,982,142,881
  5. Step 5: Solve for x
    x = 2,982,142,881/35,214
  6. Step 6: Final answer
    x = 84,686.29

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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.