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Finding the Third Proportional to 19,341.75 and 41,841

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Solution

The third proportional to 19,341.75 and 41,841 is: 90,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,341.75 : 41,841 = 41,841 : x
  2. Step 2: Convert to fraction form
    19,341.75/41,841 = 41,841/x
  3. Step 3: Cross multiply
    19,341.75x = 41,841 × 41,841
  4. Step 4: Simplify right side
    19,341.75x = 1,750,669,281
  5. Step 5: Solve for x
    x = 1,750,669,281/19,341.75
  6. Step 6: Final answer
    x = 90,512.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.