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Finding the Third Proportional to 52,597.50 and 73,982.25

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Solution

The third proportional to 52,597.50 and 73,982.25 is: 104,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,597.50 : 73,982.25 = 73,982.25 : x
  2. Step 2: Convert to fraction form
    52,597.50/73,982.25 = 73,982.25/x
  3. Step 3: Cross multiply
    52,597.50x = 73,982.25 × 73,982.25
  4. Step 4: Simplify right side
    52,597.50x = 5,473,373,315.06
  5. Step 5: Solve for x
    x = 5,473,373,315.06/52,597.50
  6. Step 6: Final answer
    x = 104,061.47

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