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Finding the Third Proportional to 4,114.55 and 4,519.55

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Solution

The third proportional to 4,114.55 and 4,519.55 is: 4,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.55 : 4,519.55 = 4,519.55 : x
  2. Step 2: Convert to fraction form
    4,114.55/4,519.55 = 4,519.55/x
  3. Step 3: Cross multiply
    4,114.55x = 4,519.55 × 4,519.55
  4. Step 4: Simplify right side
    4,114.55x = 20,426,303.96
  5. Step 5: Solve for x
    x = 20,426,303.96/4,114.55
  6. Step 6: Final answer
    x = 4,964.41

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.