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Finding the Third Proportional to 5,756.75 and 8,889.63

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Solution

The third proportional to 5,756.75 and 8,889.63 is: 13,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.75 : 8,889.63 = 8,889.63 : x
  2. Step 2: Convert to fraction form
    5,756.75/8,889.63 = 8,889.63/x
  3. Step 3: Cross multiply
    5,756.75x = 8,889.63 × 8,889.63
  4. Step 4: Simplify right side
    5,756.75x = 79,025,432.64
  5. Step 5: Solve for x
    x = 79,025,432.64/5,756.75
  6. Step 6: Final answer
    x = 13,727.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.