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Finding the Third Proportional to 36,859.50 and 55,323

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Solution

The third proportional to 36,859.50 and 55,323 is: 83,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,859.50 : 55,323 = 55,323 : x
  2. Step 2: Convert to fraction form
    36,859.50/55,323 = 55,323/x
  3. Step 3: Cross multiply
    36,859.50x = 55,323 × 55,323
  4. Step 4: Simplify right side
    36,859.50x = 3,060,634,329
  5. Step 5: Solve for x
    x = 3,060,634,329/36,859.50
  6. Step 6: Final answer
    x = 83,035.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.