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Finding the Third Proportional to 12,990 and 14,205

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Solution

The third proportional to 12,990 and 14,205 is: 15,533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,990 : 14,205 = 14,205 : x
  2. Step 2: Convert to fraction form
    12,990/14,205 = 14,205/x
  3. Step 3: Cross multiply
    12,990x = 14,205 × 14,205
  4. Step 4: Simplify right side
    12,990x = 201,782,025
  5. Step 5: Solve for x
    x = 201,782,025/12,990
  6. Step 6: Final answer
    x = 15,533.64

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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.