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Finding the Third Proportional to 37,118.25 and 52,184.25

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Solution

The third proportional to 37,118.25 and 52,184.25 is: 73,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,118.25 : 52,184.25 = 52,184.25 : x
  2. Step 2: Convert to fraction form
    37,118.25/52,184.25 = 52,184.25/x
  3. Step 3: Cross multiply
    37,118.25x = 52,184.25 × 52,184.25
  4. Step 4: Simplify right side
    37,118.25x = 2,723,195,948.06
  5. Step 5: Solve for x
    x = 2,723,195,948.06/37,118.25
  6. Step 6: Final answer
    x = 73,365.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.