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Finding the Third Proportional to 7,684 and 10,130

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Solution

The third proportional to 7,684 and 10,130 is: 13,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684 : 10,130 = 10,130 : x
  2. Step 2: Convert to fraction form
    7,684/10,130 = 10,130/x
  3. Step 3: Cross multiply
    7,684x = 10,130 × 10,130
  4. Step 4: Simplify right side
    7,684x = 102,616,900
  5. Step 5: Solve for x
    x = 102,616,900/7,684
  6. Step 6: Final answer
    x = 13,354.62

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.