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Finding the Third Proportional to 15,334 and 33,127

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Solution

The third proportional to 15,334 and 33,127 is: 71,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,334 : 33,127 = 33,127 : x
  2. Step 2: Convert to fraction form
    15,334/33,127 = 33,127/x
  3. Step 3: Cross multiply
    15,334x = 33,127 × 33,127
  4. Step 4: Simplify right side
    15,334x = 1,097,398,129
  5. Step 5: Solve for x
    x = 1,097,398,129/15,334
  6. Step 6: Final answer
    x = 71,566.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.