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Finding the Third Proportional to 35,624 and 55,497

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Solution

The third proportional to 35,624 and 55,497 is: 86,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,624 : 55,497 = 55,497 : x
  2. Step 2: Convert to fraction form
    35,624/55,497 = 55,497/x
  3. Step 3: Cross multiply
    35,624x = 55,497 × 55,497
  4. Step 4: Simplify right side
    35,624x = 3,079,917,009
  5. Step 5: Solve for x
    x = 3,079,917,009/35,624
  6. Step 6: Final answer
    x = 86,456.24

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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.