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Finding the Third Proportional to 11,820 and 13,050

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Solution

The third proportional to 11,820 and 13,050 is: 14,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820 : 13,050 = 13,050 : x
  2. Step 2: Convert to fraction form
    11,820/13,050 = 13,050/x
  3. Step 3: Cross multiply
    11,820x = 13,050 × 13,050
  4. Step 4: Simplify right side
    11,820x = 170,302,500
  5. Step 5: Solve for x
    x = 170,302,500/11,820
  6. Step 6: Final answer
    x = 14,407.99

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.