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Finding the Third Proportional to 10,027.13 and 21,600.84

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Solution

The third proportional to 10,027.13 and 21,600.84 is: 46,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.13 : 21,600.84 = 21,600.84 : x
  2. Step 2: Convert to fraction form
    10,027.13/21,600.84 = 21,600.84/x
  3. Step 3: Cross multiply
    10,027.13x = 21,600.84 × 21,600.84
  4. Step 4: Simplify right side
    10,027.13x = 466,596,450.71
  5. Step 5: Solve for x
    x = 466,596,450.71/10,027.13
  6. Step 6: Final answer
    x = 46,533.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.