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Finding the Third Proportional to 10,612.69 and 22,095.56

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Solution

The third proportional to 10,612.69 and 22,095.56 is: 46,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.69 : 22,095.56 = 22,095.56 : x
  2. Step 2: Convert to fraction form
    10,612.69/22,095.56 = 22,095.56/x
  3. Step 3: Cross multiply
    10,612.69x = 22,095.56 × 22,095.56
  4. Step 4: Simplify right side
    10,612.69x = 488,213,882.19
  5. Step 5: Solve for x
    x = 488,213,882.19/10,612.69
  6. Step 6: Final answer
    x = 46,002.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.