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Finding the Third Proportional to 8,943.47 and 19,423.41

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Solution

The third proportional to 8,943.47 and 19,423.41 is: 42,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,943.47 : 19,423.41 = 19,423.41 : x
  2. Step 2: Convert to fraction form
    8,943.47/19,423.41 = 19,423.41/x
  3. Step 3: Cross multiply
    8,943.47x = 19,423.41 × 19,423.41
  4. Step 4: Simplify right side
    8,943.47x = 377,268,710.35
  5. Step 5: Solve for x
    x = 377,268,710.35/8,943.47
  6. Step 6: Final answer
    x = 42,183.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.