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Finding the Third Proportional to 35,302 and 49,375

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Solution

The third proportional to 35,302 and 49,375 is: 69,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,302 : 49,375 = 49,375 : x
  2. Step 2: Convert to fraction form
    35,302/49,375 = 49,375/x
  3. Step 3: Cross multiply
    35,302x = 49,375 × 49,375
  4. Step 4: Simplify right side
    35,302x = 2,437,890,625
  5. Step 5: Solve for x
    x = 2,437,890,625/35,302
  6. Step 6: Final answer
    x = 69,058.14

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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.