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Finding the Third Proportional to 21,149.44 and 45,113.63

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Solution

The third proportional to 21,149.44 and 45,113.63 is: 96,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.44 : 45,113.63 = 45,113.63 : x
  2. Step 2: Convert to fraction form
    21,149.44/45,113.63 = 45,113.63/x
  3. Step 3: Cross multiply
    21,149.44x = 45,113.63 × 45,113.63
  4. Step 4: Simplify right side
    21,149.44x = 2,035,239,160.64
  5. Step 5: Solve for x
    x = 2,035,239,160.64/21,149.44
  6. Step 6: Final answer
    x = 96,231.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.