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Finding the Third Proportional to 7,284.94 and 10,923.19

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Solution

The third proportional to 7,284.94 and 10,923.19 is: 16,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.94 : 10,923.19 = 10,923.19 : x
  2. Step 2: Convert to fraction form
    7,284.94/10,923.19 = 10,923.19/x
  3. Step 3: Cross multiply
    7,284.94x = 10,923.19 × 10,923.19
  4. Step 4: Simplify right side
    7,284.94x = 119,316,025.16
  5. Step 5: Solve for x
    x = 119,316,025.16/7,284.94
  6. Step 6: Final answer
    x = 16,378.46

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Why These Related Problems?

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