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Finding the Third Proportional to 12,233.53 and 16,317.07

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Solution

The third proportional to 12,233.53 and 16,317.07 is: 21,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.53 : 16,317.07 = 16,317.07 : x
  2. Step 2: Convert to fraction form
    12,233.53/16,317.07 = 16,317.07/x
  3. Step 3: Cross multiply
    12,233.53x = 16,317.07 × 16,317.07
  4. Step 4: Simplify right side
    12,233.53x = 266,246,783.58
  5. Step 5: Solve for x
    x = 266,246,783.58/12,233.53
  6. Step 6: Final answer
    x = 21,763.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.