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Finding the Third Proportional to 7,327.02 and 11,352.50

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Solution

The third proportional to 7,327.02 and 11,352.50 is: 17,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,327.02 : 11,352.50 = 11,352.50 : x
  2. Step 2: Convert to fraction form
    7,327.02/11,352.50 = 11,352.50/x
  3. Step 3: Cross multiply
    7,327.02x = 11,352.50 × 11,352.50
  4. Step 4: Simplify right side
    7,327.02x = 128,879,211.90
  5. Step 5: Solve for x
    x = 128,879,211.90/7,327.02
  6. Step 6: Final answer
    x = 17,589.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.