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Finding the Third Proportional to 2,277.42 and 3,334.22

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Solution

The third proportional to 2,277.42 and 3,334.22 is: 4,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.42 : 3,334.22 = 3,334.22 : x
  2. Step 2: Convert to fraction form
    2,277.42/3,334.22 = 3,334.22/x
  3. Step 3: Cross multiply
    2,277.42x = 3,334.22 × 3,334.22
  4. Step 4: Simplify right side
    2,277.42x = 11,117,014.67
  5. Step 5: Solve for x
    x = 11,117,014.67/2,277.42
  6. Step 6: Final answer
    x = 4,881.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.