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Finding the Third Proportional to 35,033 and 81,948

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Solution

The third proportional to 35,033 and 81,948 is: 191,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,033 : 81,948 = 81,948 : x
  2. Step 2: Convert to fraction form
    35,033/81,948 = 81,948/x
  3. Step 3: Cross multiply
    35,033x = 81,948 × 81,948
  4. Step 4: Simplify right side
    35,033x = 6,715,474,704
  5. Step 5: Solve for x
    x = 6,715,474,704/35,033
  6. Step 6: Final answer
    x = 191,689.97

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Why These Related Problems?

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