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Finding the Third Proportional to 9,721 and 14,867.50

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Solution

The third proportional to 9,721 and 14,867.50 is: 22,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721 : 14,867.50 = 14,867.50 : x
  2. Step 2: Convert to fraction form
    9,721/14,867.50 = 14,867.50/x
  3. Step 3: Cross multiply
    9,721x = 14,867.50 × 14,867.50
  4. Step 4: Simplify right side
    9,721x = 221,042,556.25
  5. Step 5: Solve for x
    x = 221,042,556.25/9,721
  6. Step 6: Final answer
    x = 22,738.66

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Why These Related Problems?

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