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Finding the Third Proportional to 2,991.94 and 4,725.21

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Solution

The third proportional to 2,991.94 and 4,725.21 is: 7,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.94 : 4,725.21 = 4,725.21 : x
  2. Step 2: Convert to fraction form
    2,991.94/4,725.21 = 4,725.21/x
  3. Step 3: Cross multiply
    2,991.94x = 4,725.21 × 4,725.21
  4. Step 4: Simplify right side
    2,991.94x = 22,327,618.40
  5. Step 5: Solve for x
    x = 22,327,618.40/2,991.94
  6. Step 6: Final answer
    x = 7,462.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.