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Finding the Third Proportional to 7,684 and 10,246

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Solution

The third proportional to 7,684 and 10,246 is: 13,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684 : 10,246 = 10,246 : x
  2. Step 2: Convert to fraction form
    7,684/10,246 = 10,246/x
  3. Step 3: Cross multiply
    7,684x = 10,246 × 10,246
  4. Step 4: Simplify right side
    7,684x = 104,980,516
  5. Step 5: Solve for x
    x = 104,980,516/7,684
  6. Step 6: Final answer
    x = 13,662.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.