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Finding the Third Proportional to 7,998 and 10,107

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Solution

The third proportional to 7,998 and 10,107 is: 12,772.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998 : 10,107 = 10,107 : x
  2. Step 2: Convert to fraction form
    7,998/10,107 = 10,107/x
  3. Step 3: Cross multiply
    7,998x = 10,107 × 10,107
  4. Step 4: Simplify right side
    7,998x = 102,151,449
  5. Step 5: Solve for x
    x = 102,151,449/7,998
  6. Step 6: Final answer
    x = 12,772.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.