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Finding the Third Proportional to 3,681.70 and 5,510.53

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Solution

The third proportional to 3,681.70 and 5,510.53 is: 8,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.70 : 5,510.53 = 5,510.53 : x
  2. Step 2: Convert to fraction form
    3,681.70/5,510.53 = 5,510.53/x
  3. Step 3: Cross multiply
    3,681.70x = 5,510.53 × 5,510.53
  4. Step 4: Simplify right side
    3,681.70x = 30,365,954.66
  5. Step 5: Solve for x
    x = 30,365,954.66/3,681.70
  6. Step 6: Final answer
    x = 8,247.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.