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Finding the Third Proportional to 19,194.75 and 40,490.25

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Solution

The third proportional to 19,194.75 and 40,490.25 is: 85,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,194.75 : 40,490.25 = 40,490.25 : x
  2. Step 2: Convert to fraction form
    19,194.75/40,490.25 = 40,490.25/x
  3. Step 3: Cross multiply
    19,194.75x = 40,490.25 × 40,490.25
  4. Step 4: Simplify right side
    19,194.75x = 1,639,460,345.06
  5. Step 5: Solve for x
    x = 1,639,460,345.06/19,194.75
  6. Step 6: Final answer
    x = 85,411.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.