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Finding the Third Proportional to 4,930.56 and 10,561.69

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Solution

The third proportional to 4,930.56 and 10,561.69 is: 22,624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.56 : 10,561.69 = 10,561.69 : x
  2. Step 2: Convert to fraction form
    4,930.56/10,561.69 = 10,561.69/x
  3. Step 3: Cross multiply
    4,930.56x = 10,561.69 × 10,561.69
  4. Step 4: Simplify right side
    4,930.56x = 111,549,242.85
  5. Step 5: Solve for x
    x = 111,549,242.85/4,930.56
  6. Step 6: Final answer
    x = 22,624.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.