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Finding the Third Proportional to 14,959.69 and 31,919.06

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Solution

The third proportional to 14,959.69 and 31,919.06 is: 68,104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,959.69 : 31,919.06 = 31,919.06 : x
  2. Step 2: Convert to fraction form
    14,959.69/31,919.06 = 31,919.06/x
  3. Step 3: Cross multiply
    14,959.69x = 31,919.06 × 31,919.06
  4. Step 4: Simplify right side
    14,959.69x = 1,018,826,550.88
  5. Step 5: Solve for x
    x = 1,018,826,550.88/14,959.69
  6. Step 6: Final answer
    x = 68,104.80

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.