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Finding the Third Proportional to 17,300 and 26,102

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Solution

The third proportional to 17,300 and 26,102 is: 39,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,300 : 26,102 = 26,102 : x
  2. Step 2: Convert to fraction form
    17,300/26,102 = 26,102/x
  3. Step 3: Cross multiply
    17,300x = 26,102 × 26,102
  4. Step 4: Simplify right side
    17,300x = 681,314,404
  5. Step 5: Solve for x
    x = 681,314,404/17,300
  6. Step 6: Final answer
    x = 39,382.34

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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.