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Finding the Third Proportional to 4,703.63 and 10,367.16

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Solution

The third proportional to 4,703.63 and 10,367.16 is: 22,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.63 : 10,367.16 = 10,367.16 : x
  2. Step 2: Convert to fraction form
    4,703.63/10,367.16 = 10,367.16/x
  3. Step 3: Cross multiply
    4,703.63x = 10,367.16 × 10,367.16
  4. Step 4: Simplify right side
    4,703.63x = 107,477,928.71
  5. Step 5: Solve for x
    x = 107,477,928.71/4,703.63
  6. Step 6: Final answer
    x = 22,850.02

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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.