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Finding the Third Proportional to 26,638.88 and 40,026.66

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Solution

The third proportional to 26,638.88 and 40,026.66 is: 60,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,638.88 : 40,026.66 = 40,026.66 : x
  2. Step 2: Convert to fraction form
    26,638.88/40,026.66 = 40,026.66/x
  3. Step 3: Cross multiply
    26,638.88x = 40,026.66 × 40,026.66
  4. Step 4: Simplify right side
    26,638.88x = 1,602,133,210.56
  5. Step 5: Solve for x
    x = 1,602,133,210.56/26,638.88
  6. Step 6: Final answer
    x = 60,142.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.