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Finding the Third Proportional to 46.41 and 70.45

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Solution

The third proportional to 46.41 and 70.45 is: 106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.41 : 70.45 = 70.45 : x
  2. Step 2: Convert to fraction form
    46.41/70.45 = 70.45/x
  3. Step 3: Cross multiply
    46.41x = 70.45 × 70.45
  4. Step 4: Simplify right side
    46.41x = 4,963.64
  5. Step 5: Solve for x
    x = 4,963.64/46.41
  6. Step 6: Final answer
    x = 106.96

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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.