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Finding the Third Proportional to 29.30 and 46.64

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Solution

The third proportional to 29.30 and 46.64 is: 74.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.30 : 46.64 = 46.64 : x
  2. Step 2: Convert to fraction form
    29.30/46.64 = 46.64/x
  3. Step 3: Cross multiply
    29.30x = 46.64 × 46.64
  4. Step 4: Simplify right side
    29.30x = 2,175.35
  5. Step 5: Solve for x
    x = 2,175.35/29.30
  6. Step 6: Final answer
    x = 74.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.