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Finding the Third Proportional to 46.69 and 110.25

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Solution

The third proportional to 46.69 and 110.25 is: 260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.69 : 110.25 = 110.25 : x
  2. Step 2: Convert to fraction form
    46.69/110.25 = 110.25/x
  3. Step 3: Cross multiply
    46.69x = 110.25 × 110.25
  4. Step 4: Simplify right side
    46.69x = 12,155.06
  5. Step 5: Solve for x
    x = 12,155.06/46.69
  6. Step 6: Final answer
    x = 260.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.