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Finding the Third Proportional to 2,054.81 and 3,354.94

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Solution

The third proportional to 2,054.81 and 3,354.94 is: 5,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.81 : 3,354.94 = 3,354.94 : x
  2. Step 2: Convert to fraction form
    2,054.81/3,354.94 = 3,354.94/x
  3. Step 3: Cross multiply
    2,054.81x = 3,354.94 × 3,354.94
  4. Step 4: Simplify right side
    2,054.81x = 11,255,605.63
  5. Step 5: Solve for x
    x = 11,255,605.63/2,054.81
  6. Step 6: Final answer
    x = 5,477.68

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.