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Finding the Third Proportional to 11,343 and 14,764.50

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Solution

The third proportional to 11,343 and 14,764.50 is: 19,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343 : 14,764.50 = 14,764.50 : x
  2. Step 2: Convert to fraction form
    11,343/14,764.50 = 14,764.50/x
  3. Step 3: Cross multiply
    11,343x = 14,764.50 × 14,764.50
  4. Step 4: Simplify right side
    11,343x = 217,990,460.25
  5. Step 5: Solve for x
    x = 217,990,460.25/11,343
  6. Step 6: Final answer
    x = 19,218.06

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.