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Finding the Third Proportional to 21,905.44 and 35,452.69

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Solution

The third proportional to 21,905.44 and 35,452.69 is: 57,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.44 : 35,452.69 = 35,452.69 : x
  2. Step 2: Convert to fraction form
    21,905.44/35,452.69 = 35,452.69/x
  3. Step 3: Cross multiply
    21,905.44x = 35,452.69 × 35,452.69
  4. Step 4: Simplify right side
    21,905.44x = 1,256,893,050.97
  5. Step 5: Solve for x
    x = 1,256,893,050.97/21,905.44
  6. Step 6: Final answer
    x = 57,378.13

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.