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Finding the Third Proportional to 4,656.87 and 6,893.23

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Solution

The third proportional to 4,656.87 and 6,893.23 is: 10,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.87 : 6,893.23 = 6,893.23 : x
  2. Step 2: Convert to fraction form
    4,656.87/6,893.23 = 6,893.23/x
  3. Step 3: Cross multiply
    4,656.87x = 6,893.23 × 6,893.23
  4. Step 4: Simplify right side
    4,656.87x = 47,516,572.44
  5. Step 5: Solve for x
    x = 47,516,572.44/4,656.87
  6. Step 6: Final answer
    x = 10,203.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.