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Finding the Third Proportional to 17,669 and 24,765.50

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Solution

The third proportional to 17,669 and 24,765.50 is: 34,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669 : 24,765.50 = 24,765.50 : x
  2. Step 2: Convert to fraction form
    17,669/24,765.50 = 24,765.50/x
  3. Step 3: Cross multiply
    17,669x = 24,765.50 × 24,765.50
  4. Step 4: Simplify right side
    17,669x = 613,329,990.25
  5. Step 5: Solve for x
    x = 613,329,990.25/17,669
  6. Step 6: Final answer
    x = 34,712.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.