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Finding the Third Proportional to 4,806.84 and 7,624.13

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Solution

The third proportional to 4,806.84 and 7,624.13 is: 12,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.84 : 7,624.13 = 7,624.13 : x
  2. Step 2: Convert to fraction form
    4,806.84/7,624.13 = 7,624.13/x
  3. Step 3: Cross multiply
    4,806.84x = 7,624.13 × 7,624.13
  4. Step 4: Simplify right side
    4,806.84x = 58,127,282.02
  5. Step 5: Solve for x
    x = 58,127,282.02/4,806.84
  6. Step 6: Final answer
    x = 12,092.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.