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Finding the Third Proportional to 18,764 and 40,154

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Solution

The third proportional to 18,764 and 40,154 is: 85,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,764 : 40,154 = 40,154 : x
  2. Step 2: Convert to fraction form
    18,764/40,154 = 40,154/x
  3. Step 3: Cross multiply
    18,764x = 40,154 × 40,154
  4. Step 4: Simplify right side
    18,764x = 1,612,343,716
  5. Step 5: Solve for x
    x = 1,612,343,716/18,764
  6. Step 6: Final answer
    x = 85,927.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.