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Finding the Third Proportional to 52,494.75 and 76,494.38

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Solution

The third proportional to 52,494.75 and 76,494.38 is: 111,466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,494.75 : 76,494.38 = 76,494.38 : x
  2. Step 2: Convert to fraction form
    52,494.75/76,494.38 = 76,494.38/x
  3. Step 3: Cross multiply
    52,494.75x = 76,494.38 × 76,494.38
  4. Step 4: Simplify right side
    52,494.75x = 5,851,389,406.64
  5. Step 5: Solve for x
    x = 5,851,389,406.64/52,494.75
  6. Step 6: Final answer
    x = 111,466.18

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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.