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Finding the Third Proportional to 26,499.75 and 35,984.63

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Solution

The third proportional to 26,499.75 and 35,984.63 is: 48,864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,499.75 : 35,984.63 = 35,984.63 : x
  2. Step 2: Convert to fraction form
    26,499.75/35,984.63 = 35,984.63/x
  3. Step 3: Cross multiply
    26,499.75x = 35,984.63 × 35,984.63
  4. Step 4: Simplify right side
    26,499.75x = 1,294,893,236.39
  5. Step 5: Solve for x
    x = 1,294,893,236.39/26,499.75
  6. Step 6: Final answer
    x = 48,864.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.