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Finding the Third Proportional to 46.83 and 70.90

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Solution

The third proportional to 46.83 and 70.90 is: 107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.83 : 70.90 = 70.90 : x
  2. Step 2: Convert to fraction form
    46.83/70.90 = 70.90/x
  3. Step 3: Cross multiply
    46.83x = 70.90 × 70.90
  4. Step 4: Simplify right side
    46.83x = 5,027.42
  5. Step 5: Solve for x
    x = 5,027.42/46.83
  6. Step 6: Final answer
    x = 107.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.