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Finding the Third Proportional to 21.13 and 42.63

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Solution

The third proportional to 21.13 and 42.63 is: 86.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.13 : 42.63 = 42.63 : x
  2. Step 2: Convert to fraction form
    21.13/42.63 = 42.63/x
  3. Step 3: Cross multiply
    21.13x = 42.63 × 42.63
  4. Step 4: Simplify right side
    21.13x = 1,816.89
  5. Step 5: Solve for x
    x = 1,816.89/21.13
  6. Step 6: Final answer
    x = 86.01

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.