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Finding the Third Proportional to 4,366.41 and 9,423.84

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Solution

The third proportional to 4,366.41 and 9,423.84 is: 20,339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366.41 : 9,423.84 = 9,423.84 : x
  2. Step 2: Convert to fraction form
    4,366.41/9,423.84 = 9,423.84/x
  3. Step 3: Cross multiply
    4,366.41x = 9,423.84 × 9,423.84
  4. Step 4: Simplify right side
    4,366.41x = 88,808,831.02
  5. Step 5: Solve for x
    x = 88,808,831.02/4,366.41
  6. Step 6: Final answer
    x = 20,339.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.