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Finding the Third Proportional to 20,896 and 29,287.50

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Solution

The third proportional to 20,896 and 29,287.50 is: 41,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896 : 29,287.50 = 29,287.50 : x
  2. Step 2: Convert to fraction form
    20,896/29,287.50 = 29,287.50/x
  3. Step 3: Cross multiply
    20,896x = 29,287.50 × 29,287.50
  4. Step 4: Simplify right side
    20,896x = 857,757,656.25
  5. Step 5: Solve for x
    x = 857,757,656.25/20,896
  6. Step 6: Final answer
    x = 41,048.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.