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Finding the Third Proportional to 26,156.67 and 56,744.30

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Solution

The third proportional to 26,156.67 and 56,744.30 is: 123,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,156.67 : 56,744.30 = 56,744.30 : x
  2. Step 2: Convert to fraction form
    26,156.67/56,744.30 = 56,744.30/x
  3. Step 3: Cross multiply
    26,156.67x = 56,744.30 × 56,744.30
  4. Step 4: Simplify right side
    26,156.67x = 3,219,915,227.84
  5. Step 5: Solve for x
    x = 3,219,915,227.84/26,156.67
  6. Step 6: Final answer
    x = 123,101.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.