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Finding the Third Proportional to 5,259.94 and 12,367.69

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Solution

The third proportional to 5,259.94 and 12,367.69 is: 29,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.94 : 12,367.69 = 12,367.69 : x
  2. Step 2: Convert to fraction form
    5,259.94/12,367.69 = 12,367.69/x
  3. Step 3: Cross multiply
    5,259.94x = 12,367.69 × 12,367.69
  4. Step 4: Simplify right side
    5,259.94x = 152,959,694.10
  5. Step 5: Solve for x
    x = 152,959,694.10/5,259.94
  6. Step 6: Final answer
    x = 29,080.14

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.