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Finding the Third Proportional to 7,284.50 and 11,924.50

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Solution

The third proportional to 7,284.50 and 11,924.50 is: 19,520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.50 : 11,924.50 = 11,924.50 : x
  2. Step 2: Convert to fraction form
    7,284.50/11,924.50 = 11,924.50/x
  3. Step 3: Cross multiply
    7,284.50x = 11,924.50 × 11,924.50
  4. Step 4: Simplify right side
    7,284.50x = 142,193,700.25
  5. Step 5: Solve for x
    x = 142,193,700.25/7,284.50
  6. Step 6: Final answer
    x = 19,520.04

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.