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Finding the Third Proportional to 15,580.30 and 33,029.86

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Solution

The third proportional to 15,580.30 and 33,029.86 is: 70,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.30 : 33,029.86 = 33,029.86 : x
  2. Step 2: Convert to fraction form
    15,580.30/33,029.86 = 33,029.86/x
  3. Step 3: Cross multiply
    15,580.30x = 33,029.86 × 33,029.86
  4. Step 4: Simplify right side
    15,580.30x = 1,090,971,610.33
  5. Step 5: Solve for x
    x = 1,090,971,610.33/15,580.30
  6. Step 6: Final answer
    x = 70,022.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.