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Finding the Third Proportional to 24.10 and 35.51

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Solution

The third proportional to 24.10 and 35.51 is: 52.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.10 : 35.51 = 35.51 : x
  2. Step 2: Convert to fraction form
    24.10/35.51 = 35.51/x
  3. Step 3: Cross multiply
    24.10x = 35.51 × 35.51
  4. Step 4: Simplify right side
    24.10x = 1,261.07
  5. Step 5: Solve for x
    x = 1,261.07/24.10
  6. Step 6: Final answer
    x = 52.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.