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Finding the Third Proportional to 13 and 32

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Solution

The third proportional to 13 and 32 is: 78.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 32 = 32 : x
  2. Step 2: Convert to fraction form
    13/32 = 32/x
  3. Step 3: Cross multiply
    13x = 32 × 32
  4. Step 4: Simplify right side
    13x = 1,024
  5. Step 5: Solve for x
    x = 1,024/13
  6. Step 6: Final answer
    x = 78.77

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.