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Finding the Third Proportional to 17,647.50 and 19,492.50

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Solution

The third proportional to 17,647.50 and 19,492.50 is: 21,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.50 : 19,492.50 = 19,492.50 : x
  2. Step 2: Convert to fraction form
    17,647.50/19,492.50 = 19,492.50/x
  3. Step 3: Cross multiply
    17,647.50x = 19,492.50 × 19,492.50
  4. Step 4: Simplify right side
    17,647.50x = 379,957,556.25
  5. Step 5: Solve for x
    x = 379,957,556.25/17,647.50
  6. Step 6: Final answer
    x = 21,530.39

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.