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Finding the Third Proportional to 6,124 and 9,172.50

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Solution

The third proportional to 6,124 and 9,172.50 is: 13,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124 : 9,172.50 = 9,172.50 : x
  2. Step 2: Convert to fraction form
    6,124/9,172.50 = 9,172.50/x
  3. Step 3: Cross multiply
    6,124x = 9,172.50 × 9,172.50
  4. Step 4: Simplify right side
    6,124x = 84,134,756.25
  5. Step 5: Solve for x
    x = 84,134,756.25/6,124
  6. Step 6: Final answer
    x = 13,738.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.