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Finding the Third Proportional to 20,040.75 and 26,038.13

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Solution

The third proportional to 20,040.75 and 26,038.13 is: 33,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,040.75 : 26,038.13 = 26,038.13 : x
  2. Step 2: Convert to fraction form
    20,040.75/26,038.13 = 26,038.13/x
  3. Step 3: Cross multiply
    20,040.75x = 26,038.13 × 26,038.13
  4. Step 4: Simplify right side
    20,040.75x = 677,983,953.52
  5. Step 5: Solve for x
    x = 677,983,953.52/20,040.75
  6. Step 6: Final answer
    x = 33,830.27

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.