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Finding the Third Proportional to 4,551.19 and 7,317.84

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Solution

The third proportional to 4,551.19 and 7,317.84 is: 11,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.19 : 7,317.84 = 7,317.84 : x
  2. Step 2: Convert to fraction form
    4,551.19/7,317.84 = 7,317.84/x
  3. Step 3: Cross multiply
    4,551.19x = 7,317.84 × 7,317.84
  4. Step 4: Simplify right side
    4,551.19x = 53,550,837.15
  5. Step 5: Solve for x
    x = 53,550,837.15/4,551.19
  6. Step 6: Final answer
    x = 11,766.34

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.