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Finding the Third Proportional to 6,507.75 and 9,806.25

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Solution

The third proportional to 6,507.75 and 9,806.25 is: 14,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.75 : 9,806.25 = 9,806.25 : x
  2. Step 2: Convert to fraction form
    6,507.75/9,806.25 = 9,806.25/x
  3. Step 3: Cross multiply
    6,507.75x = 9,806.25 × 9,806.25
  4. Step 4: Simplify right side
    6,507.75x = 96,162,539.06
  5. Step 5: Solve for x
    x = 96,162,539.06/6,507.75
  6. Step 6: Final answer
    x = 14,776.62

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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.