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Finding the Third Proportional to 7,624 and 12,864

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Solution

The third proportional to 7,624 and 12,864 is: 21,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624 : 12,864 = 12,864 : x
  2. Step 2: Convert to fraction form
    7,624/12,864 = 12,864/x
  3. Step 3: Cross multiply
    7,624x = 12,864 × 12,864
  4. Step 4: Simplify right side
    7,624x = 165,482,496
  5. Step 5: Solve for x
    x = 165,482,496/7,624
  6. Step 6: Final answer
    x = 21,705.47

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.