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Finding the Third Proportional to 35,732 and 53,962

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Solution

The third proportional to 35,732 and 53,962 is: 81,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,732 : 53,962 = 53,962 : x
  2. Step 2: Convert to fraction form
    35,732/53,962 = 53,962/x
  3. Step 3: Cross multiply
    35,732x = 53,962 × 53,962
  4. Step 4: Simplify right side
    35,732x = 2,911,897,444
  5. Step 5: Solve for x
    x = 2,911,897,444/35,732
  6. Step 6: Final answer
    x = 81,492.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.