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Finding the Third Proportional to 4,113.84 and 6,624.84

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Solution

The third proportional to 4,113.84 and 6,624.84 is: 10,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.84 : 6,624.84 = 6,624.84 : x
  2. Step 2: Convert to fraction form
    4,113.84/6,624.84 = 6,624.84/x
  3. Step 3: Cross multiply
    4,113.84x = 6,624.84 × 6,624.84
  4. Step 4: Simplify right side
    4,113.84x = 43,888,554.71
  5. Step 5: Solve for x
    x = 43,888,554.71/4,113.84
  6. Step 6: Final answer
    x = 10,668.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.