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Finding the Third Proportional to 12,102.75 and 13,209.75

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Solution

The third proportional to 12,102.75 and 13,209.75 is: 14,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.75 : 13,209.75 = 13,209.75 : x
  2. Step 2: Convert to fraction form
    12,102.75/13,209.75 = 13,209.75/x
  3. Step 3: Cross multiply
    12,102.75x = 13,209.75 × 13,209.75
  4. Step 4: Simplify right side
    12,102.75x = 174,497,495.06
  5. Step 5: Solve for x
    x = 174,497,495.06/12,102.75
  6. Step 6: Final answer
    x = 14,418.00

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.