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Finding the Third Proportional to 13,998 and 32,703

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Solution

The third proportional to 13,998 and 32,703 is: 76,402.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998 : 32,703 = 32,703 : x
  2. Step 2: Convert to fraction form
    13,998/32,703 = 32,703/x
  3. Step 3: Cross multiply
    13,998x = 32,703 × 32,703
  4. Step 4: Simplify right side
    13,998x = 1,069,486,209
  5. Step 5: Solve for x
    x = 1,069,486,209/13,998
  6. Step 6: Final answer
    x = 76,402.79

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.