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Finding the Third Proportional to 11,235 and 14,638.50

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Solution

The third proportional to 11,235 and 14,638.50 is: 19,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235 : 14,638.50 = 14,638.50 : x
  2. Step 2: Convert to fraction form
    11,235/14,638.50 = 14,638.50/x
  3. Step 3: Cross multiply
    11,235x = 14,638.50 × 14,638.50
  4. Step 4: Simplify right side
    11,235x = 214,285,682.25
  5. Step 5: Solve for x
    x = 214,285,682.25/11,235
  6. Step 6: Final answer
    x = 19,073.05

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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.