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Finding the Third Proportional to 26,041.50 and 36,166.50

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Solution

The third proportional to 26,041.50 and 36,166.50 is: 50,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,041.50 : 36,166.50 = 36,166.50 : x
  2. Step 2: Convert to fraction form
    26,041.50/36,166.50 = 36,166.50/x
  3. Step 3: Cross multiply
    26,041.50x = 36,166.50 × 36,166.50
  4. Step 4: Simplify right side
    26,041.50x = 1,308,015,722.25
  5. Step 5: Solve for x
    x = 1,308,015,722.25/26,041.50
  6. Step 6: Final answer
    x = 50,228.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.