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Finding the Third Proportional to 18,083 and 37,532

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Solution

The third proportional to 18,083 and 37,532 is: 77,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,083 : 37,532 = 37,532 : x
  2. Step 2: Convert to fraction form
    18,083/37,532 = 37,532/x
  3. Step 3: Cross multiply
    18,083x = 37,532 × 37,532
  4. Step 4: Simplify right side
    18,083x = 1,408,651,024
  5. Step 5: Solve for x
    x = 1,408,651,024/18,083
  6. Step 6: Final answer
    x = 77,899.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.