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Finding the Third Proportional to 6,033 and 7,126.50

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Solution

The third proportional to 6,033 and 7,126.50 is: 8,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033 : 7,126.50 = 7,126.50 : x
  2. Step 2: Convert to fraction form
    6,033/7,126.50 = 7,126.50/x
  3. Step 3: Cross multiply
    6,033x = 7,126.50 × 7,126.50
  4. Step 4: Simplify right side
    6,033x = 50,787,002.25
  5. Step 5: Solve for x
    x = 50,787,002.25/6,033
  6. Step 6: Final answer
    x = 8,418.20

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.