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Finding the Third Proportional to 7,671.56 and 16,806.94

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Solution

The third proportional to 7,671.56 and 16,806.94 is: 36,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.56 : 16,806.94 = 16,806.94 : x
  2. Step 2: Convert to fraction form
    7,671.56/16,806.94 = 16,806.94/x
  3. Step 3: Cross multiply
    7,671.56x = 16,806.94 × 16,806.94
  4. Step 4: Simplify right side
    7,671.56x = 282,473,148.13
  5. Step 5: Solve for x
    x = 282,473,148.13/7,671.56
  6. Step 6: Final answer
    x = 36,820.81

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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.