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Finding the Third Proportional to 1,076.41 and 1,597.54

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Solution

The third proportional to 1,076.41 and 1,597.54 is: 2,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.41 : 1,597.54 = 1,597.54 : x
  2. Step 2: Convert to fraction form
    1,076.41/1,597.54 = 1,597.54/x
  3. Step 3: Cross multiply
    1,076.41x = 1,597.54 × 1,597.54
  4. Step 4: Simplify right side
    1,076.41x = 2,552,118.58
  5. Step 5: Solve for x
    x = 2,552,118.58/1,076.41
  6. Step 6: Final answer
    x = 2,370.95

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.