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Finding the Third Proportional to 7,682.98 and 16,803.07

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Solution

The third proportional to 7,682.98 and 16,803.07 is: 36,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.98 : 16,803.07 = 16,803.07 : x
  2. Step 2: Convert to fraction form
    7,682.98/16,803.07 = 16,803.07/x
  3. Step 3: Cross multiply
    7,682.98x = 16,803.07 × 16,803.07
  4. Step 4: Simplify right side
    7,682.98x = 282,343,171.93
  5. Step 5: Solve for x
    x = 282,343,171.93/7,682.98
  6. Step 6: Final answer
    x = 36,749.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.