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Finding the Third Proportional to 4,317.19 and 9,280.69

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Solution

The third proportional to 4,317.19 and 9,280.69 is: 19,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,317.19 : 9,280.69 = 9,280.69 : x
  2. Step 2: Convert to fraction form
    4,317.19/9,280.69 = 9,280.69/x
  3. Step 3: Cross multiply
    4,317.19x = 9,280.69 × 9,280.69
  4. Step 4: Simplify right side
    4,317.19x = 86,131,160.47
  5. Step 5: Solve for x
    x = 86,131,160.47/4,317.19
  6. Step 6: Final answer
    x = 19,950.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.