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Finding the Third Proportional to 2,972.63 and 7,029.94

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Solution

The third proportional to 2,972.63 and 7,029.94 is: 16,625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.63 : 7,029.94 = 7,029.94 : x
  2. Step 2: Convert to fraction form
    2,972.63/7,029.94 = 7,029.94/x
  3. Step 3: Cross multiply
    2,972.63x = 7,029.94 × 7,029.94
  4. Step 4: Simplify right side
    2,972.63x = 49,420,021.25
  5. Step 5: Solve for x
    x = 49,420,021.25/2,972.63
  6. Step 6: Final answer
    x = 16,625.04

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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.