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Finding the Third Proportional to 21.63 and 46.63

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Solution

The third proportional to 21.63 and 46.63 is: 100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.63 : 46.63 = 46.63 : x
  2. Step 2: Convert to fraction form
    21.63/46.63 = 46.63/x
  3. Step 3: Cross multiply
    21.63x = 46.63 × 46.63
  4. Step 4: Simplify right side
    21.63x = 2,173.89
  5. Step 5: Solve for x
    x = 2,173.89/21.63
  6. Step 6: Final answer
    x = 100.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.