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Finding the Third Proportional to 15,883 and 33,877

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Solution

The third proportional to 15,883 and 33,877 is: 72,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883 : 33,877 = 33,877 : x
  2. Step 2: Convert to fraction form
    15,883/33,877 = 33,877/x
  3. Step 3: Cross multiply
    15,883x = 33,877 × 33,877
  4. Step 4: Simplify right side
    15,883x = 1,147,651,129
  5. Step 5: Solve for x
    x = 1,147,651,129/15,883
  6. Step 6: Final answer
    x = 72,256.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.