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Finding the Third Proportional to 8,656.88 and 11,253.94

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Solution

The third proportional to 8,656.88 and 11,253.94 is: 14,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.88 : 11,253.94 = 11,253.94 : x
  2. Step 2: Convert to fraction form
    8,656.88/11,253.94 = 11,253.94/x
  3. Step 3: Cross multiply
    8,656.88x = 11,253.94 × 11,253.94
  4. Step 4: Simplify right side
    8,656.88x = 126,651,109.25
  5. Step 5: Solve for x
    x = 126,651,109.25/8,656.88
  6. Step 6: Final answer
    x = 14,630.12

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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.