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Finding the Third Proportional to 35,384 and 55,228

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Solution

The third proportional to 35,384 and 55,228 is: 86,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,384 : 55,228 = 55,228 : x
  2. Step 2: Convert to fraction form
    35,384/55,228 = 55,228/x
  3. Step 3: Cross multiply
    35,384x = 55,228 × 55,228
  4. Step 4: Simplify right side
    35,384x = 3,050,131,984
  5. Step 5: Solve for x
    x = 3,050,131,984/35,384
  6. Step 6: Final answer
    x = 86,200.88

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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.