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Finding the Third Proportional to 42,636 and 63,954

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Solution

The third proportional to 42,636 and 63,954 is: 95,931

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,636 : 63,954 = 63,954 : x
  2. Step 2: Convert to fraction form
    42,636/63,954 = 63,954/x
  3. Step 3: Cross multiply
    42,636x = 63,954 × 63,954
  4. Step 4: Simplify right side
    42,636x = 4,090,114,116
  5. Step 5: Solve for x
    x = 4,090,114,116/42,636
  6. Step 6: Final answer
    x = 95,931

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.