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Finding the Third Proportional to 45,241.31 and 70,447.22

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Solution

The third proportional to 45,241.31 and 70,447.22 is: 109,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,241.31 : 70,447.22 = 70,447.22 : x
  2. Step 2: Convert to fraction form
    45,241.31/70,447.22 = 70,447.22/x
  3. Step 3: Cross multiply
    45,241.31x = 70,447.22 × 70,447.22
  4. Step 4: Simplify right side
    45,241.31x = 4,962,810,629.61
  5. Step 5: Solve for x
    x = 4,962,810,629.61/45,241.31
  6. Step 6: Final answer
    x = 109,696.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.