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Finding the Third Proportional to 19,246.50 and 40,023

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Solution

The third proportional to 19,246.50 and 40,023 is: 83,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,246.50 : 40,023 = 40,023 : x
  2. Step 2: Convert to fraction form
    19,246.50/40,023 = 40,023/x
  3. Step 3: Cross multiply
    19,246.50x = 40,023 × 40,023
  4. Step 4: Simplify right side
    19,246.50x = 1,601,840,529
  5. Step 5: Solve for x
    x = 1,601,840,529/19,246.50
  6. Step 6: Final answer
    x = 83,227.63

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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.