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Finding the Third Proportional to 7,314.75 and 10,933.88

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Solution

The third proportional to 7,314.75 and 10,933.88 is: 16,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.75 : 10,933.88 = 10,933.88 : x
  2. Step 2: Convert to fraction form
    7,314.75/10,933.88 = 10,933.88/x
  3. Step 3: Cross multiply
    7,314.75x = 10,933.88 × 10,933.88
  4. Step 4: Simplify right side
    7,314.75x = 119,549,622.52
  5. Step 5: Solve for x
    x = 119,549,622.52/7,314.75
  6. Step 6: Final answer
    x = 16,343.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.