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Finding the Third Proportional to 26,292.75 and 56,824.50

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Solution

The third proportional to 26,292.75 and 56,824.50 is: 122,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,292.75 : 56,824.50 = 56,824.50 : x
  2. Step 2: Convert to fraction form
    26,292.75/56,824.50 = 56,824.50/x
  3. Step 3: Cross multiply
    26,292.75x = 56,824.50 × 56,824.50
  4. Step 4: Simplify right side
    26,292.75x = 3,229,023,800.25
  5. Step 5: Solve for x
    x = 3,229,023,800.25/26,292.75
  6. Step 6: Final answer
    x = 122,810.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.