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Finding the Third Proportional to 35,913 and 83,887

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Solution

The third proportional to 35,913 and 83,887 is: 195,946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,913 : 83,887 = 83,887 : x
  2. Step 2: Convert to fraction form
    35,913/83,887 = 83,887/x
  3. Step 3: Cross multiply
    35,913x = 83,887 × 83,887
  4. Step 4: Simplify right side
    35,913x = 7,037,028,769
  5. Step 5: Solve for x
    x = 7,037,028,769/35,913
  6. Step 6: Final answer
    x = 195,946.56

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.