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Finding the Third Proportional to 6,410.25 and 9,700.75

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Solution

The third proportional to 6,410.25 and 9,700.75 is: 14,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.25 : 9,700.75 = 9,700.75 : x
  2. Step 2: Convert to fraction form
    6,410.25/9,700.75 = 9,700.75/x
  3. Step 3: Cross multiply
    6,410.25x = 9,700.75 × 9,700.75
  4. Step 4: Simplify right side
    6,410.25x = 94,104,550.56
  5. Step 5: Solve for x
    x = 94,104,550.56/6,410.25
  6. Step 6: Final answer
    x = 14,680.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.