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Finding the Third Proportional to 10,604.67 and 22,564.83

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Solution

The third proportional to 10,604.67 and 22,564.83 is: 48,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.67 : 22,564.83 = 22,564.83 : x
  2. Step 2: Convert to fraction form
    10,604.67/22,564.83 = 22,564.83/x
  3. Step 3: Cross multiply
    10,604.67x = 22,564.83 × 22,564.83
  4. Step 4: Simplify right side
    10,604.67x = 509,171,468.31
  5. Step 5: Solve for x
    x = 509,171,468.31/10,604.67
  6. Step 6: Final answer
    x = 48,013.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.