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Finding the Third Proportional to 36,637 and 57,143

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Solution

The third proportional to 36,637 and 57,143 is: 89,126.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,637 : 57,143 = 57,143 : x
  2. Step 2: Convert to fraction form
    36,637/57,143 = 57,143/x
  3. Step 3: Cross multiply
    36,637x = 57,143 × 57,143
  4. Step 4: Simplify right side
    36,637x = 3,265,322,449
  5. Step 5: Solve for x
    x = 3,265,322,449/36,637
  6. Step 6: Final answer
    x = 89,126.36

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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.