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Finding the Third Proportional to 17.95 and 46.10

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Solution

The third proportional to 17.95 and 46.10 is: 118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.95 : 46.10 = 46.10 : x
  2. Step 2: Convert to fraction form
    17.95/46.10 = 46.10/x
  3. Step 3: Cross multiply
    17.95x = 46.10 × 46.10
  4. Step 4: Simplify right side
    17.95x = 2,125.11
  5. Step 5: Solve for x
    x = 2,125.11/17.95
  6. Step 6: Final answer
    x = 118.41

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.