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Finding the Third Proportional to 23,031.84 and 50,445.28

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Solution

The third proportional to 23,031.84 and 50,445.28 is: 110,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031.84 : 50,445.28 = 50,445.28 : x
  2. Step 2: Convert to fraction form
    23,031.84/50,445.28 = 50,445.28/x
  3. Step 3: Cross multiply
    23,031.84x = 50,445.28 × 50,445.28
  4. Step 4: Simplify right side
    23,031.84x = 2,544,726,400.39
  5. Step 5: Solve for x
    x = 2,544,726,400.39/23,031.84
  6. Step 6: Final answer
    x = 110,487.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.