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Finding the Third Proportional to 27,456 and 56,206.50

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Solution

The third proportional to 27,456 and 56,206.50 is: 115,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,456 : 56,206.50 = 56,206.50 : x
  2. Step 2: Convert to fraction form
    27,456/56,206.50 = 56,206.50/x
  3. Step 3: Cross multiply
    27,456x = 56,206.50 × 56,206.50
  4. Step 4: Simplify right side
    27,456x = 3,159,170,642.25
  5. Step 5: Solve for x
    x = 3,159,170,642.25/27,456
  6. Step 6: Final answer
    x = 115,063.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.