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Finding the Third Proportional to 7,675.88 and 11,260.13

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Solution

The third proportional to 7,675.88 and 11,260.13 is: 16,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.88 : 11,260.13 = 11,260.13 : x
  2. Step 2: Convert to fraction form
    7,675.88/11,260.13 = 11,260.13/x
  3. Step 3: Cross multiply
    7,675.88x = 11,260.13 × 11,260.13
  4. Step 4: Simplify right side
    7,675.88x = 126,790,415.02
  5. Step 5: Solve for x
    x = 126,790,415.02/7,675.88
  6. Step 6: Final answer
    x = 16,518.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.