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Finding the Third Proportional to 7,176 and 14,892

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Solution

The third proportional to 7,176 and 14,892 is: 30,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176 : 14,892 = 14,892 : x
  2. Step 2: Convert to fraction form
    7,176/14,892 = 14,892/x
  3. Step 3: Cross multiply
    7,176x = 14,892 × 14,892
  4. Step 4: Simplify right side
    7,176x = 221,771,664
  5. Step 5: Solve for x
    x = 221,771,664/7,176
  6. Step 6: Final answer
    x = 30,904.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.