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Finding the Third Proportional to 26,615.50 and 41,204.50

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Solution

The third proportional to 26,615.50 and 41,204.50 is: 63,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,615.50 : 41,204.50 = 41,204.50 : x
  2. Step 2: Convert to fraction form
    26,615.50/41,204.50 = 41,204.50/x
  3. Step 3: Cross multiply
    26,615.50x = 41,204.50 × 41,204.50
  4. Step 4: Simplify right side
    26,615.50x = 1,697,810,820.25
  5. Step 5: Solve for x
    x = 1,697,810,820.25/26,615.50
  6. Step 6: Final answer
    x = 63,790.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.