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Finding the Third Proportional to 12,054 and 16,596

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Solution

The third proportional to 12,054 and 16,596 is: 22,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054 : 16,596 = 16,596 : x
  2. Step 2: Convert to fraction form
    12,054/16,596 = 16,596/x
  3. Step 3: Cross multiply
    12,054x = 16,596 × 16,596
  4. Step 4: Simplify right side
    12,054x = 275,427,216
  5. Step 5: Solve for x
    x = 275,427,216/12,054
  6. Step 6: Final answer
    x = 22,849.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.