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Finding the Third Proportional to 16,040.85 and 24,407.26

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Solution

The third proportional to 16,040.85 and 24,407.26 is: 37,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,040.85 : 24,407.26 = 24,407.26 : x
  2. Step 2: Convert to fraction form
    16,040.85/24,407.26 = 24,407.26/x
  3. Step 3: Cross multiply
    16,040.85x = 24,407.26 × 24,407.26
  4. Step 4: Simplify right side
    16,040.85x = 595,714,424.61
  5. Step 5: Solve for x
    x = 595,714,424.61/16,040.85
  6. Step 6: Final answer
    x = 37,137.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.