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Finding the Third Proportional to 4,368.94 and 5,744.67

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Solution

The third proportional to 4,368.94 and 5,744.67 is: 7,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368.94 : 5,744.67 = 5,744.67 : x
  2. Step 2: Convert to fraction form
    4,368.94/5,744.67 = 5,744.67/x
  3. Step 3: Cross multiply
    4,368.94x = 5,744.67 × 5,744.67
  4. Step 4: Simplify right side
    4,368.94x = 33,001,254.95
  5. Step 5: Solve for x
    x = 33,001,254.95/4,368.94
  6. Step 6: Final answer
    x = 7,553.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.