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Finding the Third Proportional to 7,684.50 and 14,212.50

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Solution

The third proportional to 7,684.50 and 14,212.50 is: 26,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.50 : 14,212.50 = 14,212.50 : x
  2. Step 2: Convert to fraction form
    7,684.50/14,212.50 = 14,212.50/x
  3. Step 3: Cross multiply
    7,684.50x = 14,212.50 × 14,212.50
  4. Step 4: Simplify right side
    7,684.50x = 201,995,156.25
  5. Step 5: Solve for x
    x = 201,995,156.25/7,684.50
  6. Step 6: Final answer
    x = 26,286.05

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.