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Finding the Third Proportional to 7,727.06 and 16,664.06

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Solution

The third proportional to 7,727.06 and 16,664.06 is: 35,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.06 : 16,664.06 = 16,664.06 : x
  2. Step 2: Convert to fraction form
    7,727.06/16,664.06 = 16,664.06/x
  3. Step 3: Cross multiply
    7,727.06x = 16,664.06 × 16,664.06
  4. Step 4: Simplify right side
    7,727.06x = 277,690,979.00
  5. Step 5: Solve for x
    x = 277,690,979.00/7,727.06
  6. Step 6: Final answer
    x = 35,937.46

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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.