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Finding the Third Proportional to 15,625.25 and 33,745

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Solution

The third proportional to 15,625.25 and 33,745 is: 72,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,625.25 : 33,745 = 33,745 : x
  2. Step 2: Convert to fraction form
    15,625.25/33,745 = 33,745/x
  3. Step 3: Cross multiply
    15,625.25x = 33,745 × 33,745
  4. Step 4: Simplify right side
    15,625.25x = 1,138,725,025
  5. Step 5: Solve for x
    x = 1,138,725,025/15,625.25
  6. Step 6: Final answer
    x = 72,877.24

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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.