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Finding the Third Proportional to 10,574 and 13,906

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Solution

The third proportional to 10,574 and 13,906 is: 18,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574 : 13,906 = 13,906 : x
  2. Step 2: Convert to fraction form
    10,574/13,906 = 13,906/x
  3. Step 3: Cross multiply
    10,574x = 13,906 × 13,906
  4. Step 4: Simplify right side
    10,574x = 193,376,836
  5. Step 5: Solve for x
    x = 193,376,836/10,574
  6. Step 6: Final answer
    x = 18,287.95

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.