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Finding the Third Proportional to 2,673.95 and 4,724.26

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Solution

The third proportional to 2,673.95 and 4,724.26 is: 8,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.95 : 4,724.26 = 4,724.26 : x
  2. Step 2: Convert to fraction form
    2,673.95/4,724.26 = 4,724.26/x
  3. Step 3: Cross multiply
    2,673.95x = 4,724.26 × 4,724.26
  4. Step 4: Simplify right side
    2,673.95x = 22,318,648.79
  5. Step 5: Solve for x
    x = 22,318,648.79/2,673.95
  6. Step 6: Final answer
    x = 8,346.70

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.