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Finding the Third Proportional to 20,973.94 and 32,736.66

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Solution

The third proportional to 20,973.94 and 32,736.66 is: 51,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,973.94 : 32,736.66 = 32,736.66 : x
  2. Step 2: Convert to fraction form
    20,973.94/32,736.66 = 32,736.66/x
  3. Step 3: Cross multiply
    20,973.94x = 32,736.66 × 32,736.66
  4. Step 4: Simplify right side
    20,973.94x = 1,071,688,662.43
  5. Step 5: Solve for x
    x = 1,071,688,662.43/20,973.94
  6. Step 6: Final answer
    x = 51,096.21

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.