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Finding the Third Proportional to 26,021.25 and 50,746.50

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Solution

The third proportional to 26,021.25 and 50,746.50 is: 98,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,021.25 : 50,746.50 = 50,746.50 : x
  2. Step 2: Convert to fraction form
    26,021.25/50,746.50 = 50,746.50/x
  3. Step 3: Cross multiply
    26,021.25x = 50,746.50 × 50,746.50
  4. Step 4: Simplify right side
    26,021.25x = 2,575,207,262.25
  5. Step 5: Solve for x
    x = 2,575,207,262.25/26,021.25
  6. Step 6: Final answer
    x = 98,965.55

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.