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Finding the Third Proportional to 19,140 and 41,062

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Solution

The third proportional to 19,140 and 41,062 is: 88,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,140 : 41,062 = 41,062 : x
  2. Step 2: Convert to fraction form
    19,140/41,062 = 41,062/x
  3. Step 3: Cross multiply
    19,140x = 41,062 × 41,062
  4. Step 4: Simplify right side
    19,140x = 1,686,087,844
  5. Step 5: Solve for x
    x = 1,686,087,844/19,140
  6. Step 6: Final answer
    x = 88,092.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.