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Finding the Third Proportional to 19,112 and 40,545

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Solution

The third proportional to 19,112 and 40,545 is: 86,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,112 : 40,545 = 40,545 : x
  2. Step 2: Convert to fraction form
    19,112/40,545 = 40,545/x
  3. Step 3: Cross multiply
    19,112x = 40,545 × 40,545
  4. Step 4: Simplify right side
    19,112x = 1,643,897,025
  5. Step 5: Solve for x
    x = 1,643,897,025/19,112
  6. Step 6: Final answer
    x = 86,013.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.