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Finding the Third Proportional to 24,706 and 33,603

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Solution

The third proportional to 24,706 and 33,603 is: 45,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706 : 33,603 = 33,603 : x
  2. Step 2: Convert to fraction form
    24,706/33,603 = 33,603/x
  3. Step 3: Cross multiply
    24,706x = 33,603 × 33,603
  4. Step 4: Simplify right side
    24,706x = 1,129,161,609
  5. Step 5: Solve for x
    x = 1,129,161,609/24,706
  6. Step 6: Final answer
    x = 45,703.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.