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Finding the Third Proportional to 45,997.88 and 70,333.31

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Solution

The third proportional to 45,997.88 and 70,333.31 is: 107,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,997.88 : 70,333.31 = 70,333.31 : x
  2. Step 2: Convert to fraction form
    45,997.88/70,333.31 = 70,333.31/x
  3. Step 3: Cross multiply
    45,997.88x = 70,333.31 × 70,333.31
  4. Step 4: Simplify right side
    45,997.88x = 4,946,774,847.22
  5. Step 5: Solve for x
    x = 4,946,774,847.22/45,997.88
  6. Step 6: Final answer
    x = 107,543.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.