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Finding the Third Proportional to 16,564.50 and 36,045

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Solution

The third proportional to 16,564.50 and 36,045 is: 78,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.50 : 36,045 = 36,045 : x
  2. Step 2: Convert to fraction form
    16,564.50/36,045 = 36,045/x
  3. Step 3: Cross multiply
    16,564.50x = 36,045 × 36,045
  4. Step 4: Simplify right side
    16,564.50x = 1,299,242,025
  5. Step 5: Solve for x
    x = 1,299,242,025/16,564.50
  6. Step 6: Final answer
    x = 78,435.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.