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Finding the Third Proportional to 17,085 and 26,515.50

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Solution

The third proportional to 17,085 and 26,515.50 is: 41,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085 : 26,515.50 = 26,515.50 : x
  2. Step 2: Convert to fraction form
    17,085/26,515.50 = 26,515.50/x
  3. Step 3: Cross multiply
    17,085x = 26,515.50 × 26,515.50
  4. Step 4: Simplify right side
    17,085x = 703,071,740.25
  5. Step 5: Solve for x
    x = 703,071,740.25/17,085
  6. Step 6: Final answer
    x = 41,151.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.