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Finding the Third Proportional to 3,076.42 and 4,374.95

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Solution

The third proportional to 3,076.42 and 4,374.95 is: 6,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.42 : 4,374.95 = 4,374.95 : x
  2. Step 2: Convert to fraction form
    3,076.42/4,374.95 = 4,374.95/x
  3. Step 3: Cross multiply
    3,076.42x = 4,374.95 × 4,374.95
  4. Step 4: Simplify right side
    3,076.42x = 19,140,180.67
  5. Step 5: Solve for x
    x = 19,140,180.67/3,076.42
  6. Step 6: Final answer
    x = 6,221.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.