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Finding the Third Proportional to 4,491 and 6,172.50

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Solution

The third proportional to 4,491 and 6,172.50 is: 8,483.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491 : 6,172.50 = 6,172.50 : x
  2. Step 2: Convert to fraction form
    4,491/6,172.50 = 6,172.50/x
  3. Step 3: Cross multiply
    4,491x = 6,172.50 × 6,172.50
  4. Step 4: Simplify right side
    4,491x = 38,099,756.25
  5. Step 5: Solve for x
    x = 38,099,756.25/4,491
  6. Step 6: Final answer
    x = 8,483.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.