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Finding the Third Proportional to 2,484.75 and 3,654.75

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Solution

The third proportional to 2,484.75 and 3,654.75 is: 5,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.75 : 3,654.75 = 3,654.75 : x
  2. Step 2: Convert to fraction form
    2,484.75/3,654.75 = 3,654.75/x
  3. Step 3: Cross multiply
    2,484.75x = 3,654.75 × 3,654.75
  4. Step 4: Simplify right side
    2,484.75x = 13,357,197.56
  5. Step 5: Solve for x
    x = 13,357,197.56/2,484.75
  6. Step 6: Final answer
    x = 5,375.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.