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Finding the Third Proportional to 17,083.50 and 25,971

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Solution

The third proportional to 17,083.50 and 25,971 is: 39,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,083.50 : 25,971 = 25,971 : x
  2. Step 2: Convert to fraction form
    17,083.50/25,971 = 25,971/x
  3. Step 3: Cross multiply
    17,083.50x = 25,971 × 25,971
  4. Step 4: Simplify right side
    17,083.50x = 674,492,841
  5. Step 5: Solve for x
    x = 674,492,841/17,083.50
  6. Step 6: Final answer
    x = 39,482.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.