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Finding the Third Proportional to 4,941.70 and 10,589.63

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Solution

The third proportional to 4,941.70 and 10,589.63 is: 22,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.70 : 10,589.63 = 10,589.63 : x
  2. Step 2: Convert to fraction form
    4,941.70/10,589.63 = 10,589.63/x
  3. Step 3: Cross multiply
    4,941.70x = 10,589.63 × 10,589.63
  4. Step 4: Simplify right side
    4,941.70x = 112,140,157.64
  5. Step 5: Solve for x
    x = 112,140,157.64/4,941.70
  6. Step 6: Final answer
    x = 22,692.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.