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Finding the Third Proportional to 19,005.75 and 40,929

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Solution

The third proportional to 19,005.75 and 40,929 is: 88,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,005.75 : 40,929 = 40,929 : x
  2. Step 2: Convert to fraction form
    19,005.75/40,929 = 40,929/x
  3. Step 3: Cross multiply
    19,005.75x = 40,929 × 40,929
  4. Step 4: Simplify right side
    19,005.75x = 1,675,183,041
  5. Step 5: Solve for x
    x = 1,675,183,041/19,005.75
  6. Step 6: Final answer
    x = 88,140.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.