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Finding the Third Proportional to 16,485 and 36,655.50

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Solution

The third proportional to 16,485 and 36,655.50 is: 81,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485 : 36,655.50 = 36,655.50 : x
  2. Step 2: Convert to fraction form
    16,485/36,655.50 = 36,655.50/x
  3. Step 3: Cross multiply
    16,485x = 36,655.50 × 36,655.50
  4. Step 4: Simplify right side
    16,485x = 1,343,625,680.25
  5. Step 5: Solve for x
    x = 1,343,625,680.25/16,485
  6. Step 6: Final answer
    x = 81,505.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.