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Finding the Third Proportional to 36,094.50 and 86,953.50

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Solution

The third proportional to 36,094.50 and 86,953.50 is: 209,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,094.50 : 86,953.50 = 86,953.50 : x
  2. Step 2: Convert to fraction form
    36,094.50/86,953.50 = 86,953.50/x
  3. Step 3: Cross multiply
    36,094.50x = 86,953.50 × 86,953.50
  4. Step 4: Simplify right side
    36,094.50x = 7,560,911,162.25
  5. Step 5: Solve for x
    x = 7,560,911,162.25/36,094.50
  6. Step 6: Final answer
    x = 209,475.44

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.