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Finding the Third Proportional to 4,114.55 and 5,977.55

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Solution

The third proportional to 4,114.55 and 5,977.55 is: 8,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.55 : 5,977.55 = 5,977.55 : x
  2. Step 2: Convert to fraction form
    4,114.55/5,977.55 = 5,977.55/x
  3. Step 3: Cross multiply
    4,114.55x = 5,977.55 × 5,977.55
  4. Step 4: Simplify right side
    4,114.55x = 35,731,066.64
  5. Step 5: Solve for x
    x = 35,731,066.64/4,114.55
  6. Step 6: Final answer
    x = 8,684.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.