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Finding the Third Proportional to 2,076.47 and 3,304.55

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Solution

The third proportional to 2,076.47 and 3,304.55 is: 5,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.47 : 3,304.55 = 3,304.55 : x
  2. Step 2: Convert to fraction form
    2,076.47/3,304.55 = 3,304.55/x
  3. Step 3: Cross multiply
    2,076.47x = 3,304.55 × 3,304.55
  4. Step 4: Simplify right side
    2,076.47x = 10,920,030.05
  5. Step 5: Solve for x
    x = 10,920,030.05/2,076.47
  6. Step 6: Final answer
    x = 5,258.94

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.