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Finding the Third Proportional to 35,295 and 49,458

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Solution

The third proportional to 35,295 and 49,458 is: 69,304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,295 : 49,458 = 49,458 : x
  2. Step 2: Convert to fraction form
    35,295/49,458 = 49,458/x
  3. Step 3: Cross multiply
    35,295x = 49,458 × 49,458
  4. Step 4: Simplify right side
    35,295x = 2,446,093,764
  5. Step 5: Solve for x
    x = 2,446,093,764/35,295
  6. Step 6: Final answer
    x = 69,304.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.