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Finding the Third Proportional to 5,564.74 and 12,007.41

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Solution

The third proportional to 5,564.74 and 12,007.41 is: 25,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.74 : 12,007.41 = 12,007.41 : x
  2. Step 2: Convert to fraction form
    5,564.74/12,007.41 = 12,007.41/x
  3. Step 3: Cross multiply
    5,564.74x = 12,007.41 × 12,007.41
  4. Step 4: Simplify right side
    5,564.74x = 144,177,804.85
  5. Step 5: Solve for x
    x = 144,177,804.85/5,564.74
  6. Step 6: Final answer
    x = 25,909.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.