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Finding the Third Proportional to 2,052.84 and 4,136.06

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Solution

The third proportional to 2,052.84 and 4,136.06 is: 8,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.84 : 4,136.06 = 4,136.06 : x
  2. Step 2: Convert to fraction form
    2,052.84/4,136.06 = 4,136.06/x
  3. Step 3: Cross multiply
    2,052.84x = 4,136.06 × 4,136.06
  4. Step 4: Simplify right side
    2,052.84x = 17,107,013.00
  5. Step 5: Solve for x
    x = 17,107,013.00/2,052.84
  6. Step 6: Final answer
    x = 8,333.32

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.