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Finding the Third Proportional to 2,925.75 and 4,115.63

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Solution

The third proportional to 2,925.75 and 4,115.63 is: 5,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.75 : 4,115.63 = 4,115.63 : x
  2. Step 2: Convert to fraction form
    2,925.75/4,115.63 = 4,115.63/x
  3. Step 3: Cross multiply
    2,925.75x = 4,115.63 × 4,115.63
  4. Step 4: Simplify right side
    2,925.75x = 16,938,369.14
  5. Step 5: Solve for x
    x = 16,938,369.14/2,925.75
  6. Step 6: Final answer
    x = 5,789.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.