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Finding the Third Proportional to 35,075 and 47,257

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Solution

The third proportional to 35,075 and 47,257 is: 63,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,075 : 47,257 = 47,257 : x
  2. Step 2: Convert to fraction form
    35,075/47,257 = 47,257/x
  3. Step 3: Cross multiply
    35,075x = 47,257 × 47,257
  4. Step 4: Simplify right side
    35,075x = 2,233,224,049
  5. Step 5: Solve for x
    x = 2,233,224,049/35,075
  6. Step 6: Final answer
    x = 63,669.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.