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Finding the Third Proportional to 26,859.50 and 56,920.50

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Solution

The third proportional to 26,859.50 and 56,920.50 is: 120,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,859.50 : 56,920.50 = 56,920.50 : x
  2. Step 2: Convert to fraction form
    26,859.50/56,920.50 = 56,920.50/x
  3. Step 3: Cross multiply
    26,859.50x = 56,920.50 × 56,920.50
  4. Step 4: Simplify right side
    26,859.50x = 3,239,943,320.25
  5. Step 5: Solve for x
    x = 3,239,943,320.25/26,859.50
  6. Step 6: Final answer
    x = 120,625.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.