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Finding the Third Proportional to 6,268.01 and 9,736.77

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Solution

The third proportional to 6,268.01 and 9,736.77 is: 15,125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.01 : 9,736.77 = 9,736.77 : x
  2. Step 2: Convert to fraction form
    6,268.01/9,736.77 = 9,736.77/x
  3. Step 3: Cross multiply
    6,268.01x = 9,736.77 × 9,736.77
  4. Step 4: Simplify right side
    6,268.01x = 94,804,680.90
  5. Step 5: Solve for x
    x = 94,804,680.90/6,268.01
  6. Step 6: Final answer
    x = 15,125.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.