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Finding the Third Proportional to 20,942.63 and 45,165.75

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Solution

The third proportional to 20,942.63 and 45,165.75 is: 97,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,942.63 : 45,165.75 = 45,165.75 : x
  2. Step 2: Convert to fraction form
    20,942.63/45,165.75 = 45,165.75/x
  3. Step 3: Cross multiply
    20,942.63x = 45,165.75 × 45,165.75
  4. Step 4: Simplify right side
    20,942.63x = 2,039,944,973.06
  5. Step 5: Solve for x
    x = 2,039,944,973.06/20,942.63
  6. Step 6: Final answer
    x = 97,406.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.