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Finding the Third Proportional to 23,206.50 and 36,196.03

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Solution

The third proportional to 23,206.50 and 36,196.03 is: 56,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.50 : 36,196.03 = 36,196.03 : x
  2. Step 2: Convert to fraction form
    23,206.50/36,196.03 = 36,196.03/x
  3. Step 3: Cross multiply
    23,206.50x = 36,196.03 × 36,196.03
  4. Step 4: Simplify right side
    23,206.50x = 1,310,152,678.25
  5. Step 5: Solve for x
    x = 1,310,152,678.25/23,206.50
  6. Step 6: Final answer
    x = 56,456.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.