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Finding the Third Proportional to 7,099.31 and 14,933.53

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Solution

The third proportional to 7,099.31 and 14,933.53 is: 31,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.31 : 14,933.53 = 14,933.53 : x
  2. Step 2: Convert to fraction form
    7,099.31/14,933.53 = 14,933.53/x
  3. Step 3: Cross multiply
    7,099.31x = 14,933.53 × 14,933.53
  4. Step 4: Simplify right side
    7,099.31x = 223,010,355.59
  5. Step 5: Solve for x
    x = 223,010,355.59/7,099.31
  6. Step 6: Final answer
    x = 31,412.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.