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Finding the Third Proportional to 27,143 and 37,353

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Solution

The third proportional to 27,143 and 37,353 is: 51,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,143 : 37,353 = 37,353 : x
  2. Step 2: Convert to fraction form
    27,143/37,353 = 37,353/x
  3. Step 3: Cross multiply
    27,143x = 37,353 × 37,353
  4. Step 4: Simplify right side
    27,143x = 1,395,246,609
  5. Step 5: Solve for x
    x = 1,395,246,609/27,143
  6. Step 6: Final answer
    x = 51,403.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.