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Finding the Third Proportional to 7,684 and 10,526

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Solution

The third proportional to 7,684 and 10,526 is: 14,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684 : 10,526 = 10,526 : x
  2. Step 2: Convert to fraction form
    7,684/10,526 = 10,526/x
  3. Step 3: Cross multiply
    7,684x = 10,526 × 10,526
  4. Step 4: Simplify right side
    7,684x = 110,796,676
  5. Step 5: Solve for x
    x = 110,796,676/7,684
  6. Step 6: Final answer
    x = 14,419.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.