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Finding the Third Proportional to 4,276.97 and 4,823.72

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Solution

The third proportional to 4,276.97 and 4,823.72 is: 5,440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.97 : 4,823.72 = 4,823.72 : x
  2. Step 2: Convert to fraction form
    4,276.97/4,823.72 = 4,823.72/x
  3. Step 3: Cross multiply
    4,276.97x = 4,823.72 × 4,823.72
  4. Step 4: Simplify right side
    4,276.97x = 23,268,262.58
  5. Step 5: Solve for x
    x = 23,268,262.58/4,276.97
  6. Step 6: Final answer
    x = 5,440.36

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.