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Finding the Third Proportional to 7,204.71 and 11,025.70

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Solution

The third proportional to 7,204.71 and 11,025.70 is: 16,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.71 : 11,025.70 = 11,025.70 : x
  2. Step 2: Convert to fraction form
    7,204.71/11,025.70 = 11,025.70/x
  3. Step 3: Cross multiply
    7,204.71x = 11,025.70 × 11,025.70
  4. Step 4: Simplify right side
    7,204.71x = 121,566,129.40
  5. Step 5: Solve for x
    x = 121,566,129.40/7,204.71
  6. Step 6: Final answer
    x = 16,873.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.