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Finding the Third Proportional to 2,877.75 and 4,453.88

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Solution

The third proportional to 2,877.75 and 4,453.88 is: 6,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.75 : 4,453.88 = 4,453.88 : x
  2. Step 2: Convert to fraction form
    2,877.75/4,453.88 = 4,453.88/x
  3. Step 3: Cross multiply
    2,877.75x = 4,453.88 × 4,453.88
  4. Step 4: Simplify right side
    2,877.75x = 19,837,002.52
  5. Step 5: Solve for x
    x = 19,837,002.52/2,877.75
  6. Step 6: Final answer
    x = 6,893.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.