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Finding the Third Proportional to 4,510.69 and 7,962.05

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Solution

The third proportional to 4,510.69 and 7,962.05 is: 14,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.69 : 7,962.05 = 7,962.05 : x
  2. Step 2: Convert to fraction form
    4,510.69/7,962.05 = 7,962.05/x
  3. Step 3: Cross multiply
    4,510.69x = 7,962.05 × 7,962.05
  4. Step 4: Simplify right side
    4,510.69x = 63,394,190.44
  5. Step 5: Solve for x
    x = 63,394,190.44/4,510.69
  6. Step 6: Final answer
    x = 14,054.22

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.