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Finding the Third Proportional to 37,088.63 and 80,333.25

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Solution

The third proportional to 37,088.63 and 80,333.25 is: 174,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,088.63 : 80,333.25 = 80,333.25 : x
  2. Step 2: Convert to fraction form
    37,088.63/80,333.25 = 80,333.25/x
  3. Step 3: Cross multiply
    37,088.63x = 80,333.25 × 80,333.25
  4. Step 4: Simplify right side
    37,088.63x = 6,453,431,055.56
  5. Step 5: Solve for x
    x = 6,453,431,055.56/37,088.63
  6. Step 6: Final answer
    x = 174,000.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.