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Finding the Third Proportional to 3,913.50 and 5,733.75

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Solution

The third proportional to 3,913.50 and 5,733.75 is: 8,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.50 : 5,733.75 = 5,733.75 : x
  2. Step 2: Convert to fraction form
    3,913.50/5,733.75 = 5,733.75/x
  3. Step 3: Cross multiply
    3,913.50x = 5,733.75 × 5,733.75
  4. Step 4: Simplify right side
    3,913.50x = 32,875,889.06
  5. Step 5: Solve for x
    x = 32,875,889.06/3,913.50
  6. Step 6: Final answer
    x = 8,400.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.