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Finding the Third Proportional to 35,913 and 56,839

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Solution

The third proportional to 35,913 and 56,839 is: 89,958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,913 : 56,839 = 56,839 : x
  2. Step 2: Convert to fraction form
    35,913/56,839 = 56,839/x
  3. Step 3: Cross multiply
    35,913x = 56,839 × 56,839
  4. Step 4: Simplify right side
    35,913x = 3,230,671,921
  5. Step 5: Solve for x
    x = 3,230,671,921/35,913
  6. Step 6: Final answer
    x = 89,958.29

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.