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Finding the Third Proportional to 19,447.50 and 41,559

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Solution

The third proportional to 19,447.50 and 41,559 is: 88,810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,447.50 : 41,559 = 41,559 : x
  2. Step 2: Convert to fraction form
    19,447.50/41,559 = 41,559/x
  3. Step 3: Cross multiply
    19,447.50x = 41,559 × 41,559
  4. Step 4: Simplify right side
    19,447.50x = 1,727,150,481
  5. Step 5: Solve for x
    x = 1,727,150,481/19,447.50
  6. Step 6: Final answer
    x = 88,810.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.