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Finding the Third Proportional to 18,774 and 40,646

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Solution

The third proportional to 18,774 and 40,646 is: 87,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,774 : 40,646 = 40,646 : x
  2. Step 2: Convert to fraction form
    18,774/40,646 = 40,646/x
  3. Step 3: Cross multiply
    18,774x = 40,646 × 40,646
  4. Step 4: Simplify right side
    18,774x = 1,652,097,316
  5. Step 5: Solve for x
    x = 1,652,097,316/18,774
  6. Step 6: Final answer
    x = 87,999.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.