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Finding the Third Proportional to 945.63 and 2,027.88

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Solution

The third proportional to 945.63 and 2,027.88 is: 4,348.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.63 : 2,027.88 = 2,027.88 : x
  2. Step 2: Convert to fraction form
    945.63/2,027.88 = 2,027.88/x
  3. Step 3: Cross multiply
    945.63x = 2,027.88 × 2,027.88
  4. Step 4: Simplify right side
    945.63x = 4,112,277.02
  5. Step 5: Solve for x
    x = 4,112,277.02/945.63
  6. Step 6: Final answer
    x = 4,348.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.