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Finding the Third Proportional to 5,604.19 and 8,243.02

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Solution

The third proportional to 5,604.19 and 8,243.02 is: 12,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.19 : 8,243.02 = 8,243.02 : x
  2. Step 2: Convert to fraction form
    5,604.19/8,243.02 = 8,243.02/x
  3. Step 3: Cross multiply
    5,604.19x = 8,243.02 × 8,243.02
  4. Step 4: Simplify right side
    5,604.19x = 67,947,306.59
  5. Step 5: Solve for x
    x = 67,947,306.59/5,604.19
  6. Step 6: Final answer
    x = 12,124.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.