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Finding the Third Proportional to 19,138 and 25,710

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Solution

The third proportional to 19,138 and 25,710 is: 34,538.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138 : 25,710 = 25,710 : x
  2. Step 2: Convert to fraction form
    19,138/25,710 = 25,710/x
  3. Step 3: Cross multiply
    19,138x = 25,710 × 25,710
  4. Step 4: Simplify right side
    19,138x = 661,004,100
  5. Step 5: Solve for x
    x = 661,004,100/19,138
  6. Step 6: Final answer
    x = 34,538.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.