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Finding the Third Proportional to 19,407 and 41,581

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Solution

The third proportional to 19,407 and 41,581 is: 89,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407 : 41,581 = 41,581 : x
  2. Step 2: Convert to fraction form
    19,407/41,581 = 41,581/x
  3. Step 3: Cross multiply
    19,407x = 41,581 × 41,581
  4. Step 4: Simplify right side
    19,407x = 1,728,979,561
  5. Step 5: Solve for x
    x = 1,728,979,561/19,407
  6. Step 6: Final answer
    x = 89,090.51

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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.