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Finding the Third Proportional to 11,267 and 17,242.50

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Solution

The third proportional to 11,267 and 17,242.50 is: 26,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267 : 17,242.50 = 17,242.50 : x
  2. Step 2: Convert to fraction form
    11,267/17,242.50 = 17,242.50/x
  3. Step 3: Cross multiply
    11,267x = 17,242.50 × 17,242.50
  4. Step 4: Simplify right side
    11,267x = 297,303,806.25
  5. Step 5: Solve for x
    x = 297,303,806.25/11,267
  6. Step 6: Final answer
    x = 26,387.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.