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Finding the Third Proportional to 16,053 and 34,644

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Solution

The third proportional to 16,053 and 34,644 is: 74,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,053 : 34,644 = 34,644 : x
  2. Step 2: Convert to fraction form
    16,053/34,644 = 34,644/x
  3. Step 3: Cross multiply
    16,053x = 34,644 × 34,644
  4. Step 4: Simplify right side
    16,053x = 1,200,206,736
  5. Step 5: Solve for x
    x = 1,200,206,736/16,053
  6. Step 6: Final answer
    x = 74,765.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.