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Finding the Third Proportional to 27,205.50 and 56,871

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Solution

The third proportional to 27,205.50 and 56,871 is: 118,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.50 : 56,871 = 56,871 : x
  2. Step 2: Convert to fraction form
    27,205.50/56,871 = 56,871/x
  3. Step 3: Cross multiply
    27,205.50x = 56,871 × 56,871
  4. Step 4: Simplify right side
    27,205.50x = 3,234,310,641
  5. Step 5: Solve for x
    x = 3,234,310,641/27,205.50
  6. Step 6: Final answer
    x = 118,884.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.