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Finding the Third Proportional to 4,093.88 and 6,300.28

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Solution

The third proportional to 4,093.88 and 6,300.28 is: 9,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.88 : 6,300.28 = 6,300.28 : x
  2. Step 2: Convert to fraction form
    4,093.88/6,300.28 = 6,300.28/x
  3. Step 3: Cross multiply
    4,093.88x = 6,300.28 × 6,300.28
  4. Step 4: Simplify right side
    4,093.88x = 39,693,543.83
  5. Step 5: Solve for x
    x = 39,693,543.83/4,093.88
  6. Step 6: Final answer
    x = 9,695.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.