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Finding the Third Proportional to 42,741 and 66,351

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Solution

The third proportional to 42,741 and 66,351 is: 103,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,741 : 66,351 = 66,351 : x
  2. Step 2: Convert to fraction form
    42,741/66,351 = 66,351/x
  3. Step 3: Cross multiply
    42,741x = 66,351 × 66,351
  4. Step 4: Simplify right side
    42,741x = 4,402,455,201
  5. Step 5: Solve for x
    x = 4,402,455,201/42,741
  6. Step 6: Final answer
    x = 103,003.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.