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Finding the Third Proportional to 46.63 and 70.94

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Solution

The third proportional to 46.63 and 70.94 is: 107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.63 : 70.94 = 70.94 : x
  2. Step 2: Convert to fraction form
    46.63/70.94 = 70.94/x
  3. Step 3: Cross multiply
    46.63x = 70.94 × 70.94
  4. Step 4: Simplify right side
    46.63x = 5,032.13
  5. Step 5: Solve for x
    x = 5,032.13/46.63
  6. Step 6: Final answer
    x = 107.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.