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Finding the Third Proportional to 26,973.66 and 40,835.34

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Solution

The third proportional to 26,973.66 and 40,835.34 is: 61,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,973.66 : 40,835.34 = 40,835.34 : x
  2. Step 2: Convert to fraction form
    26,973.66/40,835.34 = 40,835.34/x
  3. Step 3: Cross multiply
    26,973.66x = 40,835.34 × 40,835.34
  4. Step 4: Simplify right side
    26,973.66x = 1,667,525,299.18
  5. Step 5: Solve for x
    x = 1,667,525,299.18/26,973.66
  6. Step 6: Final answer
    x = 61,820.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.