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Finding the Third Proportional to 11,128.50 and 19,783.50

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Solution

The third proportional to 11,128.50 and 19,783.50 is: 35,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,128.50 : 19,783.50 = 19,783.50 : x
  2. Step 2: Convert to fraction form
    11,128.50/19,783.50 = 19,783.50/x
  3. Step 3: Cross multiply
    11,128.50x = 19,783.50 × 19,783.50
  4. Step 4: Simplify right side
    11,128.50x = 391,386,872.25
  5. Step 5: Solve for x
    x = 391,386,872.25/11,128.50
  6. Step 6: Final answer
    x = 35,169.78

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.