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Finding the Third Proportional to 7,590 and 16,684.50

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Solution

The third proportional to 7,590 and 16,684.50 is: 36,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590 : 16,684.50 = 16,684.50 : x
  2. Step 2: Convert to fraction form
    7,590/16,684.50 = 16,684.50/x
  3. Step 3: Cross multiply
    7,590x = 16,684.50 × 16,684.50
  4. Step 4: Simplify right side
    7,590x = 278,372,540.25
  5. Step 5: Solve for x
    x = 278,372,540.25/7,590
  6. Step 6: Final answer
    x = 36,676.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.