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Finding the Third Proportional to 14,696 and 22,892

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Solution

The third proportional to 14,696 and 22,892 is: 35,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696 : 22,892 = 22,892 : x
  2. Step 2: Convert to fraction form
    14,696/22,892 = 22,892/x
  3. Step 3: Cross multiply
    14,696x = 22,892 × 22,892
  4. Step 4: Simplify right side
    14,696x = 524,043,664
  5. Step 5: Solve for x
    x = 524,043,664/14,696
  6. Step 6: Final answer
    x = 35,658.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.