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Finding the Third Proportional to 35,322 and 54,551

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Solution

The third proportional to 35,322 and 54,551 is: 84,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,322 : 54,551 = 54,551 : x
  2. Step 2: Convert to fraction form
    35,322/54,551 = 54,551/x
  3. Step 3: Cross multiply
    35,322x = 54,551 × 54,551
  4. Step 4: Simplify right side
    35,322x = 2,975,811,601
  5. Step 5: Solve for x
    x = 2,975,811,601/35,322
  6. Step 6: Final answer
    x = 84,248.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.