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Finding the Third Proportional to 1,384.41 and 2,076.56

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Solution

The third proportional to 1,384.41 and 2,076.56 is: 3,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.41 : 2,076.56 = 2,076.56 : x
  2. Step 2: Convert to fraction form
    1,384.41/2,076.56 = 2,076.56/x
  3. Step 3: Cross multiply
    1,384.41x = 2,076.56 × 2,076.56
  4. Step 4: Simplify right side
    1,384.41x = 4,312,111.82
  5. Step 5: Solve for x
    x = 4,312,111.82/1,384.41
  6. Step 6: Final answer
    x = 3,114.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.