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Finding the Third Proportional to 37,477.13 and 80,512.88

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Solution

The third proportional to 37,477.13 and 80,512.88 is: 172,967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,477.13 : 80,512.88 = 80,512.88 : x
  2. Step 2: Convert to fraction form
    37,477.13/80,512.88 = 80,512.88/x
  3. Step 3: Cross multiply
    37,477.13x = 80,512.88 × 80,512.88
  4. Step 4: Simplify right side
    37,477.13x = 6,482,323,040.77
  5. Step 5: Solve for x
    x = 6,482,323,040.77/37,477.13
  6. Step 6: Final answer
    x = 172,967.46

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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.