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Finding the Third Proportional to 14,519.25 and 31,803.75

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Solution

The third proportional to 14,519.25 and 31,803.75 is: 69,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.25 : 31,803.75 = 31,803.75 : x
  2. Step 2: Convert to fraction form
    14,519.25/31,803.75 = 31,803.75/x
  3. Step 3: Cross multiply
    14,519.25x = 31,803.75 × 31,803.75
  4. Step 4: Simplify right side
    14,519.25x = 1,011,478,514.06
  5. Step 5: Solve for x
    x = 1,011,478,514.06/14,519.25
  6. Step 6: Final answer
    x = 69,664.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.