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Finding the Third Proportional to 14,035.50 and 28,476

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Solution

The third proportional to 14,035.50 and 28,476 is: 57,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.50 : 28,476 = 28,476 : x
  2. Step 2: Convert to fraction form
    14,035.50/28,476 = 28,476/x
  3. Step 3: Cross multiply
    14,035.50x = 28,476 × 28,476
  4. Step 4: Simplify right side
    14,035.50x = 810,882,576
  5. Step 5: Solve for x
    x = 810,882,576/14,035.50
  6. Step 6: Final answer
    x = 57,773.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.