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Finding the Third Proportional to 13,203 and 32,562

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Solution

The third proportional to 13,203 and 32,562 is: 80,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203 : 32,562 = 32,562 : x
  2. Step 2: Convert to fraction form
    13,203/32,562 = 32,562/x
  3. Step 3: Cross multiply
    13,203x = 32,562 × 32,562
  4. Step 4: Simplify right side
    13,203x = 1,060,283,844
  5. Step 5: Solve for x
    x = 1,060,283,844/13,203
  6. Step 6: Final answer
    x = 80,306.28

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.