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Finding the Third Proportional to 14.56 and 32.03

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Solution

The third proportional to 14.56 and 32.03 is: 70.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.56 : 32.03 = 32.03 : x
  2. Step 2: Convert to fraction form
    14.56/32.03 = 32.03/x
  3. Step 3: Cross multiply
    14.56x = 32.03 × 32.03
  4. Step 4: Simplify right side
    14.56x = 1,026.00
  5. Step 5: Solve for x
    x = 1,026.00/14.56
  6. Step 6: Final answer
    x = 70.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.