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Finding the Third Proportional to 7,047 and 14,777.44

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Solution

The third proportional to 7,047 and 14,777.44 is: 30,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047 : 14,777.44 = 14,777.44 : x
  2. Step 2: Convert to fraction form
    7,047/14,777.44 = 14,777.44/x
  3. Step 3: Cross multiply
    7,047x = 14,777.44 × 14,777.44
  4. Step 4: Simplify right side
    7,047x = 218,372,659.07
  5. Step 5: Solve for x
    x = 218,372,659.07/7,047
  6. Step 6: Final answer
    x = 30,988.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.