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Finding the Third Proportional to 2,914.58 and 4,393.93

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Solution

The third proportional to 2,914.58 and 4,393.93 is: 6,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.58 : 4,393.93 = 4,393.93 : x
  2. Step 2: Convert to fraction form
    2,914.58/4,393.93 = 4,393.93/x
  3. Step 3: Cross multiply
    2,914.58x = 4,393.93 × 4,393.93
  4. Step 4: Simplify right side
    2,914.58x = 19,306,652.43
  5. Step 5: Solve for x
    x = 19,306,652.43/2,914.58
  6. Step 6: Final answer
    x = 6,624.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.