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Finding the Third Proportional to 6,384.56 and 8,938.78

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Solution

The third proportional to 6,384.56 and 8,938.78 is: 12,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.56 : 8,938.78 = 8,938.78 : x
  2. Step 2: Convert to fraction form
    6,384.56/8,938.78 = 8,938.78/x
  3. Step 3: Cross multiply
    6,384.56x = 8,938.78 × 8,938.78
  4. Step 4: Simplify right side
    6,384.56x = 79,901,810.24
  5. Step 5: Solve for x
    x = 79,901,810.24/6,384.56
  6. Step 6: Final answer
    x = 12,514.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.