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Finding the Third Proportional to 10,533.38 and 21,360.38

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Solution

The third proportional to 10,533.38 and 21,360.38 is: 43,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.38 : 21,360.38 = 21,360.38 : x
  2. Step 2: Convert to fraction form
    10,533.38/21,360.38 = 21,360.38/x
  3. Step 3: Cross multiply
    10,533.38x = 21,360.38 × 21,360.38
  4. Step 4: Simplify right side
    10,533.38x = 456,265,620.14
  5. Step 5: Solve for x
    x = 456,265,620.14/10,533.38
  6. Step 6: Final answer
    x = 43,316.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.