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Finding the Third Proportional to 2,749.09 and 6,483.06

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Solution

The third proportional to 2,749.09 and 6,483.06 is: 15,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.09 : 6,483.06 = 6,483.06 : x
  2. Step 2: Convert to fraction form
    2,749.09/6,483.06 = 6,483.06/x
  3. Step 3: Cross multiply
    2,749.09x = 6,483.06 × 6,483.06
  4. Step 4: Simplify right side
    2,749.09x = 42,030,099.38
  5. Step 5: Solve for x
    x = 42,030,099.38/2,749.09
  6. Step 6: Final answer
    x = 15,288.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.