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Finding the Third Proportional to 8,684 and 19,310

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Solution

The third proportional to 8,684 and 19,310 is: 42,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684 : 19,310 = 19,310 : x
  2. Step 2: Convert to fraction form
    8,684/19,310 = 19,310/x
  3. Step 3: Cross multiply
    8,684x = 19,310 × 19,310
  4. Step 4: Simplify right side
    8,684x = 372,876,100
  5. Step 5: Solve for x
    x = 372,876,100/8,684
  6. Step 6: Final answer
    x = 42,938.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.