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Finding the Third Proportional to 31,464.75 and 45,711.25

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Solution

The third proportional to 31,464.75 and 45,711.25 is: 66,408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464.75 : 45,711.25 = 45,711.25 : x
  2. Step 2: Convert to fraction form
    31,464.75/45,711.25 = 45,711.25/x
  3. Step 3: Cross multiply
    31,464.75x = 45,711.25 × 45,711.25
  4. Step 4: Simplify right side
    31,464.75x = 2,089,518,376.56
  5. Step 5: Solve for x
    x = 2,089,518,376.56/31,464.75
  6. Step 6: Final answer
    x = 66,408.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.