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Finding the Third Proportional to 32.06 and 45.56

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Solution

The third proportional to 32.06 and 45.56 is: 64.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.06 : 45.56 = 45.56 : x
  2. Step 2: Convert to fraction form
    32.06/45.56 = 45.56/x
  3. Step 3: Cross multiply
    32.06x = 45.56 × 45.56
  4. Step 4: Simplify right side
    32.06x = 2,075.94
  5. Step 5: Solve for x
    x = 2,075.94/32.06
  6. Step 6: Final answer
    x = 64.75

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.