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Finding the Third Proportional to 35,424 and 55,287

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Solution

The third proportional to 35,424 and 55,287 is: 86,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,424 : 55,287 = 55,287 : x
  2. Step 2: Convert to fraction form
    35,424/55,287 = 55,287/x
  3. Step 3: Cross multiply
    35,424x = 55,287 × 55,287
  4. Step 4: Simplify right side
    35,424x = 3,056,652,369
  5. Step 5: Solve for x
    x = 3,056,652,369/35,424
  6. Step 6: Final answer
    x = 86,287.61

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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.