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Finding the Third Proportional to 45,314.44 and 70,561.13

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Solution

The third proportional to 45,314.44 and 70,561.13 is: 109,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,314.44 : 70,561.13 = 70,561.13 : x
  2. Step 2: Convert to fraction form
    45,314.44/70,561.13 = 70,561.13/x
  3. Step 3: Cross multiply
    45,314.44x = 70,561.13 × 70,561.13
  4. Step 4: Simplify right side
    45,314.44x = 4,978,872,361.27
  5. Step 5: Solve for x
    x = 4,978,872,361.27/45,314.44
  6. Step 6: Final answer
    x = 109,873.86

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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.