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Finding the Third Proportional to 52,239.75 and 68,052

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Solution

The third proportional to 52,239.75 and 68,052 is: 88,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,239.75 : 68,052 = 68,052 : x
  2. Step 2: Convert to fraction form
    52,239.75/68,052 = 68,052/x
  3. Step 3: Cross multiply
    52,239.75x = 68,052 × 68,052
  4. Step 4: Simplify right side
    52,239.75x = 4,631,074,704
  5. Step 5: Solve for x
    x = 4,631,074,704/52,239.75
  6. Step 6: Final answer
    x = 88,650.40

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.