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Finding the Third Proportional to 11,271 and 26,092.50

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Solution

The third proportional to 11,271 and 26,092.50 is: 60,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271 : 26,092.50 = 26,092.50 : x
  2. Step 2: Convert to fraction form
    11,271/26,092.50 = 26,092.50/x
  3. Step 3: Cross multiply
    11,271x = 26,092.50 × 26,092.50
  4. Step 4: Simplify right side
    11,271x = 680,818,556.25
  5. Step 5: Solve for x
    x = 680,818,556.25/11,271
  6. Step 6: Final answer
    x = 60,404.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.