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Finding the Third Proportional to 43.78 and 94.51

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Solution

The third proportional to 43.78 and 94.51 is: 204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.78 : 94.51 = 94.51 : x
  2. Step 2: Convert to fraction form
    43.78/94.51 = 94.51/x
  3. Step 3: Cross multiply
    43.78x = 94.51 × 94.51
  4. Step 4: Simplify right side
    43.78x = 8,931.50
  5. Step 5: Solve for x
    x = 8,931.50/43.78
  6. Step 6: Final answer
    x = 204.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.