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Finding the Third Proportional to 6,608.81 and 9,664.88

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Solution

The third proportional to 6,608.81 and 9,664.88 is: 14,134.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,608.81 : 9,664.88 = 9,664.88 : x
  2. Step 2: Convert to fraction form
    6,608.81/9,664.88 = 9,664.88/x
  3. Step 3: Cross multiply
    6,608.81x = 9,664.88 × 9,664.88
  4. Step 4: Simplify right side
    6,608.81x = 93,409,808.77
  5. Step 5: Solve for x
    x = 93,409,808.77/6,608.81
  6. Step 6: Final answer
    x = 14,134.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.