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Finding the Third Proportional to 21.00 and 42.83

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Solution

The third proportional to 21.00 and 42.83 is: 87.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.00 : 42.83 = 42.83 : x
  2. Step 2: Convert to fraction form
    21.00/42.83 = 42.83/x
  3. Step 3: Cross multiply
    21.00x = 42.83 × 42.83
  4. Step 4: Simplify right side
    21.00x = 1,834.71
  5. Step 5: Solve for x
    x = 1,834.71/21.00
  6. Step 6: Final answer
    x = 87.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.