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Finding the Third Proportional to 2,984.91 and 6,483.09

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Solution

The third proportional to 2,984.91 and 6,483.09 is: 14,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.91 : 6,483.09 = 6,483.09 : x
  2. Step 2: Convert to fraction form
    2,984.91/6,483.09 = 6,483.09/x
  3. Step 3: Cross multiply
    2,984.91x = 6,483.09 × 6,483.09
  4. Step 4: Simplify right side
    2,984.91x = 42,030,504.57
  5. Step 5: Solve for x
    x = 42,030,504.57/2,984.91
  6. Step 6: Final answer
    x = 14,081.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.