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Finding the Third Proportional to 16,600.50 and 35,841

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Solution

The third proportional to 16,600.50 and 35,841 is: 77,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600.50 : 35,841 = 35,841 : x
  2. Step 2: Convert to fraction form
    16,600.50/35,841 = 35,841/x
  3. Step 3: Cross multiply
    16,600.50x = 35,841 × 35,841
  4. Step 4: Simplify right side
    16,600.50x = 1,284,577,281
  5. Step 5: Solve for x
    x = 1,284,577,281/16,600.50
  6. Step 6: Final answer
    x = 77,381.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.