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Finding the Third Proportional to 10,010.22 and 21,489.84

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Solution

The third proportional to 10,010.22 and 21,489.84 is: 46,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010.22 : 21,489.84 = 21,489.84 : x
  2. Step 2: Convert to fraction form
    10,010.22/21,489.84 = 21,489.84/x
  3. Step 3: Cross multiply
    10,010.22x = 21,489.84 × 21,489.84
  4. Step 4: Simplify right side
    10,010.22x = 461,813,132.57
  5. Step 5: Solve for x
    x = 461,813,132.57/10,010.22
  6. Step 6: Final answer
    x = 46,134.15

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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.