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Finding the Third Proportional to 5,036 and 11,045

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Solution

The third proportional to 5,036 and 11,045 is: 24,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036 : 11,045 = 11,045 : x
  2. Step 2: Convert to fraction form
    5,036/11,045 = 11,045/x
  3. Step 3: Cross multiply
    5,036x = 11,045 × 11,045
  4. Step 4: Simplify right side
    5,036x = 121,992,025
  5. Step 5: Solve for x
    x = 121,992,025/5,036
  6. Step 6: Final answer
    x = 24,223.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.