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Finding the Third Proportional to 19,454.50 and 41,501

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Solution

The third proportional to 19,454.50 and 41,501 is: 88,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,454.50 : 41,501 = 41,501 : x
  2. Step 2: Convert to fraction form
    19,454.50/41,501 = 41,501/x
  3. Step 3: Cross multiply
    19,454.50x = 41,501 × 41,501
  4. Step 4: Simplify right side
    19,454.50x = 1,722,333,001
  5. Step 5: Solve for x
    x = 1,722,333,001/19,454.50
  6. Step 6: Final answer
    x = 88,531.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.