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Finding the Third Proportional to 2,996.56 and 6,302.69

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Solution

The third proportional to 2,996.56 and 6,302.69 is: 13,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.56 : 6,302.69 = 6,302.69 : x
  2. Step 2: Convert to fraction form
    2,996.56/6,302.69 = 6,302.69/x
  3. Step 3: Cross multiply
    2,996.56x = 6,302.69 × 6,302.69
  4. Step 4: Simplify right side
    2,996.56x = 39,723,949.74
  5. Step 5: Solve for x
    x = 39,723,949.74/2,996.56
  6. Step 6: Final answer
    x = 13,256.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.