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Finding the Third Proportional to 6,321.80 and 8,897.34

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Solution

The third proportional to 6,321.80 and 8,897.34 is: 12,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.80 : 8,897.34 = 8,897.34 : x
  2. Step 2: Convert to fraction form
    6,321.80/8,897.34 = 8,897.34/x
  3. Step 3: Cross multiply
    6,321.80x = 8,897.34 × 8,897.34
  4. Step 4: Simplify right side
    6,321.80x = 79,162,725.81
  5. Step 5: Solve for x
    x = 79,162,725.81/6,321.80
  6. Step 6: Final answer
    x = 12,522.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.