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Finding the Third Proportional to 12,263.06 and 14,262.75

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Solution

The third proportional to 12,263.06 and 14,262.75 is: 16,588.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.06 : 14,262.75 = 14,262.75 : x
  2. Step 2: Convert to fraction form
    12,263.06/14,262.75 = 14,262.75/x
  3. Step 3: Cross multiply
    12,263.06x = 14,262.75 × 14,262.75
  4. Step 4: Simplify right side
    12,263.06x = 203,426,037.56
  5. Step 5: Solve for x
    x = 203,426,037.56/12,263.06
  6. Step 6: Final answer
    x = 16,588.52

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.