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Finding the Third Proportional to 13.51 and 35.10

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Solution

The third proportional to 13.51 and 35.10 is: 91.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.51 : 35.10 = 35.10 : x
  2. Step 2: Convert to fraction form
    13.51/35.10 = 35.10/x
  3. Step 3: Cross multiply
    13.51x = 35.10 × 35.10
  4. Step 4: Simplify right side
    13.51x = 1,231.69
  5. Step 5: Solve for x
    x = 1,231.69/13.51
  6. Step 6: Final answer
    x = 91.16

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.