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Finding the Third Proportional to 14,518.69 and 31,805.44

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Solution

The third proportional to 14,518.69 and 31,805.44 is: 69,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,518.69 : 31,805.44 = 31,805.44 : x
  2. Step 2: Convert to fraction form
    14,518.69/31,805.44 = 31,805.44/x
  3. Step 3: Cross multiply
    14,518.69x = 31,805.44 × 31,805.44
  4. Step 4: Simplify right side
    14,518.69x = 1,011,585,854.57
  5. Step 5: Solve for x
    x = 1,011,585,854.57/14,518.69
  6. Step 6: Final answer
    x = 69,674.75

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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.