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Finding the Third Proportional to 11,562.75 and 22,892.63

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Solution

The third proportional to 11,562.75 and 22,892.63 is: 45,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.75 : 22,892.63 = 22,892.63 : x
  2. Step 2: Convert to fraction form
    11,562.75/22,892.63 = 22,892.63/x
  3. Step 3: Cross multiply
    11,562.75x = 22,892.63 × 22,892.63
  4. Step 4: Simplify right side
    11,562.75x = 524,072,279.39
  5. Step 5: Solve for x
    x = 524,072,279.39/11,562.75
  6. Step 6: Final answer
    x = 45,324.19

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.