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Finding the Third Proportional to 11,026.13 and 21,692.81

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Solution

The third proportional to 11,026.13 and 21,692.81 is: 42,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026.13 : 21,692.81 = 21,692.81 : x
  2. Step 2: Convert to fraction form
    11,026.13/21,692.81 = 21,692.81/x
  3. Step 3: Cross multiply
    11,026.13x = 21,692.81 × 21,692.81
  4. Step 4: Simplify right side
    11,026.13x = 470,578,114.16
  5. Step 5: Solve for x
    x = 470,578,114.16/11,026.13
  6. Step 6: Final answer
    x = 42,678.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.