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Finding the Third Proportional to 45,917.31 and 70,923.13

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Solution

The third proportional to 45,917.31 and 70,923.13 is: 109,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,917.31 : 70,923.13 = 70,923.13 : x
  2. Step 2: Convert to fraction form
    45,917.31/70,923.13 = 70,923.13/x
  3. Step 3: Cross multiply
    45,917.31x = 70,923.13 × 70,923.13
  4. Step 4: Simplify right side
    45,917.31x = 5,030,089,659.77
  5. Step 5: Solve for x
    x = 5,030,089,659.77/45,917.31
  6. Step 6: Final answer
    x = 109,546.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.