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Finding the Third Proportional to 7,897.50 and 17,019

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Solution

The third proportional to 7,897.50 and 17,019 is: 36,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.50 : 17,019 = 17,019 : x
  2. Step 2: Convert to fraction form
    7,897.50/17,019 = 17,019/x
  3. Step 3: Cross multiply
    7,897.50x = 17,019 × 17,019
  4. Step 4: Simplify right side
    7,897.50x = 289,646,361
  5. Step 5: Solve for x
    x = 289,646,361/7,897.50
  6. Step 6: Final answer
    x = 36,675.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.