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Finding the Third Proportional to 1,583.30 and 4,114.55

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Solution

The third proportional to 1,583.30 and 4,114.55 is: 10,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.30 : 4,114.55 = 4,114.55 : x
  2. Step 2: Convert to fraction form
    1,583.30/4,114.55 = 4,114.55/x
  3. Step 3: Cross multiply
    1,583.30x = 4,114.55 × 4,114.55
  4. Step 4: Simplify right side
    1,583.30x = 16,929,495.99
  5. Step 5: Solve for x
    x = 16,929,495.99/1,583.30
  6. Step 6: Final answer
    x = 10,692.56

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.