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Finding the Third Proportional to 27,864 and 35,424

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Solution

The third proportional to 27,864 and 35,424 is: 45,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 35,424 = 35,424 : x
  2. Step 2: Convert to fraction form
    27,864/35,424 = 35,424/x
  3. Step 3: Cross multiply
    27,864x = 35,424 × 35,424
  4. Step 4: Simplify right side
    27,864x = 1,254,859,776
  5. Step 5: Solve for x
    x = 1,254,859,776/27,864
  6. Step 6: Final answer
    x = 45,035.16

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.