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Finding the Third Proportional to 17,100 and 25,877

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Solution

The third proportional to 17,100 and 25,877 is: 39,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100 : 25,877 = 25,877 : x
  2. Step 2: Convert to fraction form
    17,100/25,877 = 25,877/x
  3. Step 3: Cross multiply
    17,100x = 25,877 × 25,877
  4. Step 4: Simplify right side
    17,100x = 669,619,129
  5. Step 5: Solve for x
    x = 669,619,129/17,100
  6. Step 6: Final answer
    x = 39,159.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.