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Finding the Third Proportional to 12,404.50 and 17,684

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Solution

The third proportional to 12,404.50 and 17,684 is: 25,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404.50 : 17,684 = 17,684 : x
  2. Step 2: Convert to fraction form
    12,404.50/17,684 = 17,684/x
  3. Step 3: Cross multiply
    12,404.50x = 17,684 × 17,684
  4. Step 4: Simplify right side
    12,404.50x = 312,723,856
  5. Step 5: Solve for x
    x = 312,723,856/12,404.50
  6. Step 6: Final answer
    x = 25,210.52

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.