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Finding the Third Proportional to 6,426.84 and 9,708.61

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Solution

The third proportional to 6,426.84 and 9,708.61 is: 14,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.84 : 9,708.61 = 9,708.61 : x
  2. Step 2: Convert to fraction form
    6,426.84/9,708.61 = 9,708.61/x
  3. Step 3: Cross multiply
    6,426.84x = 9,708.61 × 9,708.61
  4. Step 4: Simplify right side
    6,426.84x = 94,257,096.00
  5. Step 5: Solve for x
    x = 94,257,096.00/6,426.84
  6. Step 6: Final answer
    x = 14,666.16

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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.