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Finding the Third Proportional to 16,848 and 20,234.25

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Solution

The third proportional to 16,848 and 20,234.25 is: 24,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,848 : 20,234.25 = 20,234.25 : x
  2. Step 2: Convert to fraction form
    16,848/20,234.25 = 20,234.25/x
  3. Step 3: Cross multiply
    16,848x = 20,234.25 × 20,234.25
  4. Step 4: Simplify right side
    16,848x = 409,424,873.06
  5. Step 5: Solve for x
    x = 409,424,873.06/16,848
  6. Step 6: Final answer
    x = 24,301.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.