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Finding the Third Proportional to 19,246.50 and 40,005

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Solution

The third proportional to 19,246.50 and 40,005 is: 83,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,246.50 : 40,005 = 40,005 : x
  2. Step 2: Convert to fraction form
    19,246.50/40,005 = 40,005/x
  3. Step 3: Cross multiply
    19,246.50x = 40,005 × 40,005
  4. Step 4: Simplify right side
    19,246.50x = 1,600,400,025
  5. Step 5: Solve for x
    x = 1,600,400,025/19,246.50
  6. Step 6: Final answer
    x = 83,152.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.