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Finding the Third Proportional to 2,972.53 and 6,404.91

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Solution

The third proportional to 2,972.53 and 6,404.91 is: 13,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.53 : 6,404.91 = 6,404.91 : x
  2. Step 2: Convert to fraction form
    2,972.53/6,404.91 = 6,404.91/x
  3. Step 3: Cross multiply
    2,972.53x = 6,404.91 × 6,404.91
  4. Step 4: Simplify right side
    2,972.53x = 41,022,824.07
  5. Step 5: Solve for x
    x = 41,022,824.07/2,972.53
  6. Step 6: Final answer
    x = 13,800.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.