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Finding the Third Proportional to 4,644.94 and 10,170.94

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Solution

The third proportional to 4,644.94 and 10,170.94 is: 22,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.94 : 10,170.94 = 10,170.94 : x
  2. Step 2: Convert to fraction form
    4,644.94/10,170.94 = 10,170.94/x
  3. Step 3: Cross multiply
    4,644.94x = 10,170.94 × 10,170.94
  4. Step 4: Simplify right side
    4,644.94x = 103,447,969.63
  5. Step 5: Solve for x
    x = 103,447,969.63/4,644.94
  6. Step 6: Final answer
    x = 22,271.12

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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.