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Finding the Third Proportional to 3,612.38 and 7,466.63

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Solution

The third proportional to 3,612.38 and 7,466.63 is: 15,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.38 : 7,466.63 = 7,466.63 : x
  2. Step 2: Convert to fraction form
    3,612.38/7,466.63 = 7,466.63/x
  3. Step 3: Cross multiply
    3,612.38x = 7,466.63 × 7,466.63
  4. Step 4: Simplify right side
    3,612.38x = 55,750,488.89
  5. Step 5: Solve for x
    x = 55,750,488.89/3,612.38
  6. Step 6: Final answer
    x = 15,433.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.