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Finding the Third Proportional to 11,364.75 and 16,650

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Solution

The third proportional to 11,364.75 and 16,650 is: 24,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.75 : 16,650 = 16,650 : x
  2. Step 2: Convert to fraction form
    11,364.75/16,650 = 16,650/x
  3. Step 3: Cross multiply
    11,364.75x = 16,650 × 16,650
  4. Step 4: Simplify right side
    11,364.75x = 277,222,500
  5. Step 5: Solve for x
    x = 277,222,500/11,364.75
  6. Step 6: Final answer
    x = 24,393.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.