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Finding the Third Proportional to 4,627.13 and 10,173.94

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Solution

The third proportional to 4,627.13 and 10,173.94 is: 22,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.13 : 10,173.94 = 10,173.94 : x
  2. Step 2: Convert to fraction form
    4,627.13/10,173.94 = 10,173.94/x
  3. Step 3: Cross multiply
    4,627.13x = 10,173.94 × 10,173.94
  4. Step 4: Simplify right side
    4,627.13x = 103,509,004.25
  5. Step 5: Solve for x
    x = 103,509,004.25/4,627.13
  6. Step 6: Final answer
    x = 22,370.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.