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Finding the Third Proportional to 21.42 and 52.99

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Solution

The third proportional to 21.42 and 52.99 is: 131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.42 : 52.99 = 52.99 : x
  2. Step 2: Convert to fraction form
    21.42/52.99 = 52.99/x
  3. Step 3: Cross multiply
    21.42x = 52.99 × 52.99
  4. Step 4: Simplify right side
    21.42x = 2,808.17
  5. Step 5: Solve for x
    x = 2,808.17/21.42
  6. Step 6: Final answer
    x = 131.09

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.