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Finding the Third Proportional to 35,302 and 75,722

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Solution

The third proportional to 35,302 and 75,722 is: 162,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,302 : 75,722 = 75,722 : x
  2. Step 2: Convert to fraction form
    35,302/75,722 = 75,722/x
  3. Step 3: Cross multiply
    35,302x = 75,722 × 75,722
  4. Step 4: Simplify right side
    35,302x = 5,733,821,284
  5. Step 5: Solve for x
    x = 5,733,821,284/35,302
  6. Step 6: Final answer
    x = 162,422.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.