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Finding the Third Proportional to 2,316.94 and 3,475.69

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Solution

The third proportional to 2,316.94 and 3,475.69 is: 5,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.94 : 3,475.69 = 3,475.69 : x
  2. Step 2: Convert to fraction form
    2,316.94/3,475.69 = 3,475.69/x
  3. Step 3: Cross multiply
    2,316.94x = 3,475.69 × 3,475.69
  4. Step 4: Simplify right side
    2,316.94x = 12,080,403.60
  5. Step 5: Solve for x
    x = 12,080,403.60/2,316.94
  6. Step 6: Final answer
    x = 5,213.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.