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Finding the Third Proportional to 9,806.94 and 21,436.38

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Solution

The third proportional to 9,806.94 and 21,436.38 is: 46,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.94 : 21,436.38 = 21,436.38 : x
  2. Step 2: Convert to fraction form
    9,806.94/21,436.38 = 21,436.38/x
  3. Step 3: Cross multiply
    9,806.94x = 21,436.38 × 21,436.38
  4. Step 4: Simplify right side
    9,806.94x = 459,518,173.14
  5. Step 5: Solve for x
    x = 459,518,173.14/9,806.94
  6. Step 6: Final answer
    x = 46,856.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.