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Finding the Third Proportional to 7,200.58 and 11,020.07

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Solution

The third proportional to 7,200.58 and 11,020.07 is: 16,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.58 : 11,020.07 = 11,020.07 : x
  2. Step 2: Convert to fraction form
    7,200.58/11,020.07 = 11,020.07/x
  3. Step 3: Cross multiply
    7,200.58x = 11,020.07 × 11,020.07
  4. Step 4: Simplify right side
    7,200.58x = 121,442,025.02
  5. Step 5: Solve for x
    x = 121,442,025.02/7,200.58
  6. Step 6: Final answer
    x = 16,865.60

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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.