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Finding the Third Proportional to 51,732 and 75,350.25

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Solution

The third proportional to 51,732 and 75,350.25 is: 109,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,732 : 75,350.25 = 75,350.25 : x
  2. Step 2: Convert to fraction form
    51,732/75,350.25 = 75,350.25/x
  3. Step 3: Cross multiply
    51,732x = 75,350.25 × 75,350.25
  4. Step 4: Simplify right side
    51,732x = 5,677,660,175.06
  5. Step 5: Solve for x
    x = 5,677,660,175.06/51,732
  6. Step 6: Final answer
    x = 109,751.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.