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Finding the Third Proportional to 6,816.09 and 14,706.28

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Solution

The third proportional to 6,816.09 and 14,706.28 is: 31,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.09 : 14,706.28 = 14,706.28 : x
  2. Step 2: Convert to fraction form
    6,816.09/14,706.28 = 14,706.28/x
  3. Step 3: Cross multiply
    6,816.09x = 14,706.28 × 14,706.28
  4. Step 4: Simplify right side
    6,816.09x = 216,274,708.20
  5. Step 5: Solve for x
    x = 216,274,708.20/6,816.09
  6. Step 6: Final answer
    x = 31,730.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.