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Finding the Third Proportional to 21,636 and 32,742.75

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Solution

The third proportional to 21,636 and 32,742.75 is: 49,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,636 : 32,742.75 = 32,742.75 : x
  2. Step 2: Convert to fraction form
    21,636/32,742.75 = 32,742.75/x
  3. Step 3: Cross multiply
    21,636x = 32,742.75 × 32,742.75
  4. Step 4: Simplify right side
    21,636x = 1,072,087,677.56
  5. Step 5: Solve for x
    x = 1,072,087,677.56/21,636
  6. Step 6: Final answer
    x = 49,551.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.