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Finding the Third Proportional to 18,702 and 40,140

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Solution

The third proportional to 18,702 and 40,140 is: 86,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702 : 40,140 = 40,140 : x
  2. Step 2: Convert to fraction form
    18,702/40,140 = 40,140/x
  3. Step 3: Cross multiply
    18,702x = 40,140 × 40,140
  4. Step 4: Simplify right side
    18,702x = 1,611,219,600
  5. Step 5: Solve for x
    x = 1,611,219,600/18,702
  6. Step 6: Final answer
    x = 86,152.26

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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.