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Finding the Third Proportional to 1,858.10 and 4,055.77

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Solution

The third proportional to 1,858.10 and 4,055.77 is: 8,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.10 : 4,055.77 = 4,055.77 : x
  2. Step 2: Convert to fraction form
    1,858.10/4,055.77 = 4,055.77/x
  3. Step 3: Cross multiply
    1,858.10x = 4,055.77 × 4,055.77
  4. Step 4: Simplify right side
    1,858.10x = 16,449,306.10
  5. Step 5: Solve for x
    x = 16,449,306.10/1,858.10
  6. Step 6: Final answer
    x = 8,852.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.