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Finding the Third Proportional to 19,073.76 and 41,431.26

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Solution

The third proportional to 19,073.76 and 41,431.26 is: 89,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,073.76 : 41,431.26 = 41,431.26 : x
  2. Step 2: Convert to fraction form
    19,073.76/41,431.26 = 41,431.26/x
  3. Step 3: Cross multiply
    19,073.76x = 41,431.26 × 41,431.26
  4. Step 4: Simplify right side
    19,073.76x = 1,716,549,528.53
  5. Step 5: Solve for x
    x = 1,716,549,528.53/19,073.76
  6. Step 6: Final answer
    x = 89,995.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.