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Finding the Third Proportional to 11,302.03 and 22,911.61

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Solution

The third proportional to 11,302.03 and 22,911.61 is: 46,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.03 : 22,911.61 = 22,911.61 : x
  2. Step 2: Convert to fraction form
    11,302.03/22,911.61 = 22,911.61/x
  3. Step 3: Cross multiply
    11,302.03x = 22,911.61 × 22,911.61
  4. Step 4: Simplify right side
    11,302.03x = 524,941,844.15
  5. Step 5: Solve for x
    x = 524,941,844.15/11,302.03
  6. Step 6: Final answer
    x = 46,446.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.