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Finding the Third Proportional to 4,845.45 and 7,488.07

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Solution

The third proportional to 4,845.45 and 7,488.07 is: 11,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845.45 : 7,488.07 = 7,488.07 : x
  2. Step 2: Convert to fraction form
    4,845.45/7,488.07 = 7,488.07/x
  3. Step 3: Cross multiply
    4,845.45x = 7,488.07 × 7,488.07
  4. Step 4: Simplify right side
    4,845.45x = 56,071,197.00
  5. Step 5: Solve for x
    x = 56,071,197.00/4,845.45
  6. Step 6: Final answer
    x = 11,571.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.