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Finding the Third Proportional to 17,102 and 25,654

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Solution

The third proportional to 17,102 and 25,654 is: 38,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102 : 25,654 = 25,654 : x
  2. Step 2: Convert to fraction form
    17,102/25,654 = 25,654/x
  3. Step 3: Cross multiply
    17,102x = 25,654 × 25,654
  4. Step 4: Simplify right side
    17,102x = 658,127,716
  5. Step 5: Solve for x
    x = 658,127,716/17,102
  6. Step 6: Final answer
    x = 38,482.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.