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Finding the Third Proportional to 7,918.50 and 17,092.50

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Solution

The third proportional to 7,918.50 and 17,092.50 is: 36,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.50 : 17,092.50 = 17,092.50 : x
  2. Step 2: Convert to fraction form
    7,918.50/17,092.50 = 17,092.50/x
  3. Step 3: Cross multiply
    7,918.50x = 17,092.50 × 17,092.50
  4. Step 4: Simplify right side
    7,918.50x = 292,153,556.25
  5. Step 5: Solve for x
    x = 292,153,556.25/7,918.50
  6. Step 6: Final answer
    x = 36,895.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.