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Finding the Third Proportional to 26,839.13 and 46,021.50

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Solution

The third proportional to 26,839.13 and 46,021.50 is: 78,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,839.13 : 46,021.50 = 46,021.50 : x
  2. Step 2: Convert to fraction form
    26,839.13/46,021.50 = 46,021.50/x
  3. Step 3: Cross multiply
    26,839.13x = 46,021.50 × 46,021.50
  4. Step 4: Simplify right side
    26,839.13x = 2,117,978,462.25
  5. Step 5: Solve for x
    x = 2,117,978,462.25/26,839.13
  6. Step 6: Final answer
    x = 78,913.84

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.