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Finding the Third Proportional to 15,259.64 and 33,537.80

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Solution

The third proportional to 15,259.64 and 33,537.80 is: 73,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,259.64 : 33,537.80 = 33,537.80 : x
  2. Step 2: Convert to fraction form
    15,259.64/33,537.80 = 33,537.80/x
  3. Step 3: Cross multiply
    15,259.64x = 33,537.80 × 33,537.80
  4. Step 4: Simplify right side
    15,259.64x = 1,124,783,819.23
  5. Step 5: Solve for x
    x = 1,124,783,819.23/15,259.64
  6. Step 6: Final answer
    x = 73,709.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.