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Finding the Third Proportional to 19,180 and 40,088

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Solution

The third proportional to 19,180 and 40,088 is: 83,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,180 : 40,088 = 40,088 : x
  2. Step 2: Convert to fraction form
    19,180/40,088 = 40,088/x
  3. Step 3: Cross multiply
    19,180x = 40,088 × 40,088
  4. Step 4: Simplify right side
    19,180x = 1,607,047,744
  5. Step 5: Solve for x
    x = 1,607,047,744/19,180
  6. Step 6: Final answer
    x = 83,787.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.