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Finding the Third Proportional to 3,007.13 and 6,129.84

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Solution

The third proportional to 3,007.13 and 6,129.84 is: 12,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.13 : 6,129.84 = 6,129.84 : x
  2. Step 2: Convert to fraction form
    3,007.13/6,129.84 = 6,129.84/x
  3. Step 3: Cross multiply
    3,007.13x = 6,129.84 × 6,129.84
  4. Step 4: Simplify right side
    3,007.13x = 37,574,984.40
  5. Step 5: Solve for x
    x = 37,574,984.40/3,007.13
  6. Step 6: Final answer
    x = 12,495.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.