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Finding the Third Proportional to 35,538 and 76,545

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Solution

The third proportional to 35,538 and 76,545 is: 164,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,538 : 76,545 = 76,545 : x
  2. Step 2: Convert to fraction form
    35,538/76,545 = 76,545/x
  3. Step 3: Cross multiply
    35,538x = 76,545 × 76,545
  4. Step 4: Simplify right side
    35,538x = 5,859,137,025
  5. Step 5: Solve for x
    x = 5,859,137,025/35,538
  6. Step 6: Final answer
    x = 164,869.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.