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Finding the Third Proportional to 15,721 and 33,782.50

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Solution

The third proportional to 15,721 and 33,782.50 is: 72,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,721 : 33,782.50 = 33,782.50 : x
  2. Step 2: Convert to fraction form
    15,721/33,782.50 = 33,782.50/x
  3. Step 3: Cross multiply
    15,721x = 33,782.50 × 33,782.50
  4. Step 4: Simplify right side
    15,721x = 1,141,257,306.25
  5. Step 5: Solve for x
    x = 1,141,257,306.25/15,721
  6. Step 6: Final answer
    x = 72,594.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.