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Finding the Third Proportional to 40,725 and 60,841

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Solution

The third proportional to 40,725 and 60,841 is: 90,893.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,725 : 60,841 = 60,841 : x
  2. Step 2: Convert to fraction form
    40,725/60,841 = 60,841/x
  3. Step 3: Cross multiply
    40,725x = 60,841 × 60,841
  4. Step 4: Simplify right side
    40,725x = 3,701,627,281
  5. Step 5: Solve for x
    x = 3,701,627,281/40,725
  6. Step 6: Final answer
    x = 90,893.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.