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Finding the Third Proportional to 12,664.69 and 14,645.81

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Solution

The third proportional to 12,664.69 and 14,645.81 is: 16,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.69 : 14,645.81 = 14,645.81 : x
  2. Step 2: Convert to fraction form
    12,664.69/14,645.81 = 14,645.81/x
  3. Step 3: Cross multiply
    12,664.69x = 14,645.81 × 14,645.81
  4. Step 4: Simplify right side
    12,664.69x = 214,499,823.79
  5. Step 5: Solve for x
    x = 214,499,823.79/12,664.69
  6. Step 6: Final answer
    x = 16,936.84

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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.