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Finding the Third Proportional to 17,410.50 and 24,630

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Solution

The third proportional to 17,410.50 and 24,630 is: 34,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,410.50 : 24,630 = 24,630 : x
  2. Step 2: Convert to fraction form
    17,410.50/24,630 = 24,630/x
  3. Step 3: Cross multiply
    17,410.50x = 24,630 × 24,630
  4. Step 4: Simplify right side
    17,410.50x = 606,636,900
  5. Step 5: Solve for x
    x = 606,636,900/17,410.50
  6. Step 6: Final answer
    x = 34,843.16

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.