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Finding the Third Proportional to 13,628.25 and 32,531.63

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Solution

The third proportional to 13,628.25 and 32,531.63 is: 77,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.25 : 32,531.63 = 32,531.63 : x
  2. Step 2: Convert to fraction form
    13,628.25/32,531.63 = 32,531.63/x
  3. Step 3: Cross multiply
    13,628.25x = 32,531.63 × 32,531.63
  4. Step 4: Simplify right side
    13,628.25x = 1,058,306,625.14
  5. Step 5: Solve for x
    x = 1,058,306,625.14/13,628.25
  6. Step 6: Final answer
    x = 77,655.36

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.