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Finding the Third Proportional to 7,558.88 and 16,415.44

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Solution

The third proportional to 7,558.88 and 16,415.44 is: 35,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.88 : 16,415.44 = 16,415.44 : x
  2. Step 2: Convert to fraction form
    7,558.88/16,415.44 = 16,415.44/x
  3. Step 3: Cross multiply
    7,558.88x = 16,415.44 × 16,415.44
  4. Step 4: Simplify right side
    7,558.88x = 269,466,588.32
  5. Step 5: Solve for x
    x = 269,466,588.32/7,558.88
  6. Step 6: Final answer
    x = 35,649.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.