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Finding the Third Proportional to 6,844.50 and 14,783

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Solution

The third proportional to 6,844.50 and 14,783 is: 31,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.50 : 14,783 = 14,783 : x
  2. Step 2: Convert to fraction form
    6,844.50/14,783 = 14,783/x
  3. Step 3: Cross multiply
    6,844.50x = 14,783 × 14,783
  4. Step 4: Simplify right side
    6,844.50x = 218,537,089
  5. Step 5: Solve for x
    x = 218,537,089/6,844.50
  6. Step 6: Final answer
    x = 31,928.86

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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.