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Finding the Third Proportional to 6,576.19 and 14,086.41

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Solution

The third proportional to 6,576.19 and 14,086.41 is: 30,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.19 : 14,086.41 = 14,086.41 : x
  2. Step 2: Convert to fraction form
    6,576.19/14,086.41 = 14,086.41/x
  3. Step 3: Cross multiply
    6,576.19x = 14,086.41 × 14,086.41
  4. Step 4: Simplify right side
    6,576.19x = 198,426,841.04
  5. Step 5: Solve for x
    x = 198,426,841.04/6,576.19
  6. Step 6: Final answer
    x = 30,173.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.