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Finding the Third Proportional to 56.00 and 81.63

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Solution

The third proportional to 56.00 and 81.63 is: 118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.00 : 81.63 = 81.63 : x
  2. Step 2: Convert to fraction form
    56.00/81.63 = 81.63/x
  3. Step 3: Cross multiply
    56.00x = 81.63 × 81.63
  4. Step 4: Simplify right side
    56.00x = 6,663.92
  5. Step 5: Solve for x
    x = 6,663.92/56.00
  6. Step 6: Final answer
    x = 118.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.