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Finding the Third Proportional to 1,054.85 and 2,272.01

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Solution

The third proportional to 1,054.85 and 2,272.01 is: 4,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.85 : 2,272.01 = 2,272.01 : x
  2. Step 2: Convert to fraction form
    1,054.85/2,272.01 = 2,272.01/x
  3. Step 3: Cross multiply
    1,054.85x = 2,272.01 × 2,272.01
  4. Step 4: Simplify right side
    1,054.85x = 5,162,019.50
  5. Step 5: Solve for x
    x = 5,162,019.50/1,054.85
  6. Step 6: Final answer
    x = 4,893.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.