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Finding the Third Proportional to 35,716 and 53,898

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Solution

The third proportional to 35,716 and 53,898 is: 81,335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,716 : 53,898 = 53,898 : x
  2. Step 2: Convert to fraction form
    35,716/53,898 = 53,898/x
  3. Step 3: Cross multiply
    35,716x = 53,898 × 53,898
  4. Step 4: Simplify right side
    35,716x = 2,904,994,404
  5. Step 5: Solve for x
    x = 2,904,994,404/35,716
  6. Step 6: Final answer
    x = 81,335.94

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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.