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Finding the Third Proportional to 42,841 and 66,995

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Solution

The third proportional to 42,841 and 66,995 is: 104,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,841 : 66,995 = 66,995 : x
  2. Step 2: Convert to fraction form
    42,841/66,995 = 66,995/x
  3. Step 3: Cross multiply
    42,841x = 66,995 × 66,995
  4. Step 4: Simplify right side
    42,841x = 4,488,330,025
  5. Step 5: Solve for x
    x = 4,488,330,025/42,841
  6. Step 6: Final answer
    x = 104,767.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.