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Finding the Third Proportional to 26,842.01 and 56,622.80

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Solution

The third proportional to 26,842.01 and 56,622.80 is: 119,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.01 : 56,622.80 = 56,622.80 : x
  2. Step 2: Convert to fraction form
    26,842.01/56,622.80 = 56,622.80/x
  3. Step 3: Cross multiply
    26,842.01x = 56,622.80 × 56,622.80
  4. Step 4: Simplify right side
    26,842.01x = 3,206,141,125.95
  5. Step 5: Solve for x
    x = 3,206,141,125.95/26,842.01
  6. Step 6: Final answer
    x = 119,444.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.