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Finding the Third Proportional to 15,529.22 and 33,537.80

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Solution

The third proportional to 15,529.22 and 33,537.80 is: 72,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,529.22 : 33,537.80 = 33,537.80 : x
  2. Step 2: Convert to fraction form
    15,529.22/33,537.80 = 33,537.80/x
  3. Step 3: Cross multiply
    15,529.22x = 33,537.80 × 33,537.80
  4. Step 4: Simplify right side
    15,529.22x = 1,124,783,819.23
  5. Step 5: Solve for x
    x = 1,124,783,819.23/15,529.22
  6. Step 6: Final answer
    x = 72,430.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.