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Finding the Third Proportional to 11,234.95 and 22,788.84

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Solution

The third proportional to 11,234.95 and 22,788.84 is: 46,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.95 : 22,788.84 = 22,788.84 : x
  2. Step 2: Convert to fraction form
    11,234.95/22,788.84 = 22,788.84/x
  3. Step 3: Cross multiply
    11,234.95x = 22,788.84 × 22,788.84
  4. Step 4: Simplify right side
    11,234.95x = 519,331,399.46
  5. Step 5: Solve for x
    x = 519,331,399.46/11,234.95
  6. Step 6: Final answer
    x = 46,224.62

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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.