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Finding the Third Proportional to 17,085 and 35,897.75

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Solution

The third proportional to 17,085 and 35,897.75 is: 75,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085 : 35,897.75 = 35,897.75 : x
  2. Step 2: Convert to fraction form
    17,085/35,897.75 = 35,897.75/x
  3. Step 3: Cross multiply
    17,085x = 35,897.75 × 35,897.75
  4. Step 4: Simplify right side
    17,085x = 1,288,648,455.06
  5. Step 5: Solve for x
    x = 1,288,648,455.06/17,085
  6. Step 6: Final answer
    x = 75,425.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.