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Finding the Third Proportional to 14,345.25 and 31,230.96

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Solution

The third proportional to 14,345.25 and 31,230.96 is: 67,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,345.25 : 31,230.96 = 31,230.96 : x
  2. Step 2: Convert to fraction form
    14,345.25/31,230.96 = 31,230.96/x
  3. Step 3: Cross multiply
    14,345.25x = 31,230.96 × 31,230.96
  4. Step 4: Simplify right side
    14,345.25x = 975,372,738.09
  5. Step 5: Solve for x
    x = 975,372,738.09/14,345.25
  6. Step 6: Final answer
    x = 67,992.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.