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Finding the Third Proportional to 21.04 and 32.43

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Solution

The third proportional to 21.04 and 32.43 is: 49.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.04 : 32.43 = 32.43 : x
  2. Step 2: Convert to fraction form
    21.04/32.43 = 32.43/x
  3. Step 3: Cross multiply
    21.04x = 32.43 × 32.43
  4. Step 4: Simplify right side
    21.04x = 1,051.81
  5. Step 5: Solve for x
    x = 1,051.81/21.04
  6. Step 6: Final answer
    x = 49.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.