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Finding the Third Proportional to 4,772.67 and 7,405.80

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Solution

The third proportional to 4,772.67 and 7,405.80 is: 11,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.67 : 7,405.80 = 7,405.80 : x
  2. Step 2: Convert to fraction form
    4,772.67/7,405.80 = 7,405.80/x
  3. Step 3: Cross multiply
    4,772.67x = 7,405.80 × 7,405.80
  4. Step 4: Simplify right side
    4,772.67x = 54,845,943.07
  5. Step 5: Solve for x
    x = 54,845,943.07/4,772.67
  6. Step 6: Final answer
    x = 11,491.66

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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.