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Finding the Third Proportional to 4,711.08 and 10,234.69

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Solution

The third proportional to 4,711.08 and 10,234.69 is: 22,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.08 : 10,234.69 = 10,234.69 : x
  2. Step 2: Convert to fraction form
    4,711.08/10,234.69 = 10,234.69/x
  3. Step 3: Cross multiply
    4,711.08x = 10,234.69 × 10,234.69
  4. Step 4: Simplify right side
    4,711.08x = 104,748,828.22
  5. Step 5: Solve for x
    x = 104,748,828.22/4,711.08
  6. Step 6: Final answer
    x = 22,234.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.