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Finding the Third Proportional to 3,475.41 and 7,445.67

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Solution

The third proportional to 3,475.41 and 7,445.67 is: 15,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.41 : 7,445.67 = 7,445.67 : x
  2. Step 2: Convert to fraction form
    3,475.41/7,445.67 = 7,445.67/x
  3. Step 3: Cross multiply
    3,475.41x = 7,445.67 × 7,445.67
  4. Step 4: Simplify right side
    3,475.41x = 55,438,029.67
  5. Step 5: Solve for x
    x = 55,438,029.67/3,475.41
  6. Step 6: Final answer
    x = 15,951.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.