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Finding the Third Proportional to 26,926 and 41,329.50

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Solution

The third proportional to 26,926 and 41,329.50 is: 63,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,926 : 41,329.50 = 41,329.50 : x
  2. Step 2: Convert to fraction form
    26,926/41,329.50 = 41,329.50/x
  3. Step 3: Cross multiply
    26,926x = 41,329.50 × 41,329.50
  4. Step 4: Simplify right side
    26,926x = 1,708,127,570.25
  5. Step 5: Solve for x
    x = 1,708,127,570.25/26,926
  6. Step 6: Final answer
    x = 63,437.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.