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Finding the Third Proportional to 19,449 and 44,653.50

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Solution

The third proportional to 19,449 and 44,653.50 is: 102,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,449 : 44,653.50 = 44,653.50 : x
  2. Step 2: Convert to fraction form
    19,449/44,653.50 = 44,653.50/x
  3. Step 3: Cross multiply
    19,449x = 44,653.50 × 44,653.50
  4. Step 4: Simplify right side
    19,449x = 1,993,935,062.25
  5. Step 5: Solve for x
    x = 1,993,935,062.25/19,449
  6. Step 6: Final answer
    x = 102,521.21

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.