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Finding the Third Proportional to 9,317.25 and 14,065.88

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Solution

The third proportional to 9,317.25 and 14,065.88 is: 21,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.25 : 14,065.88 = 14,065.88 : x
  2. Step 2: Convert to fraction form
    9,317.25/14,065.88 = 14,065.88/x
  3. Step 3: Cross multiply
    9,317.25x = 14,065.88 × 14,065.88
  4. Step 4: Simplify right side
    9,317.25x = 197,848,839.52
  5. Step 5: Solve for x
    x = 197,848,839.52/9,317.25
  6. Step 6: Final answer
    x = 21,234.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.