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Finding the Third Proportional to 17,284.50 and 26,085

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Solution

The third proportional to 17,284.50 and 26,085 is: 39,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.50 : 26,085 = 26,085 : x
  2. Step 2: Convert to fraction form
    17,284.50/26,085 = 26,085/x
  3. Step 3: Cross multiply
    17,284.50x = 26,085 × 26,085
  4. Step 4: Simplify right side
    17,284.50x = 680,427,225
  5. Step 5: Solve for x
    x = 680,427,225/17,284.50
  6. Step 6: Final answer
    x = 39,366.32

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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.