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Finding the Third Proportional to 17,627.63 and 37,816.88

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Solution

The third proportional to 17,627.63 and 37,816.88 is: 81,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.63 : 37,816.88 = 37,816.88 : x
  2. Step 2: Convert to fraction form
    17,627.63/37,816.88 = 37,816.88/x
  3. Step 3: Cross multiply
    17,627.63x = 37,816.88 × 37,816.88
  4. Step 4: Simplify right side
    17,627.63x = 1,430,116,034.77
  5. Step 5: Solve for x
    x = 1,430,116,034.77/17,627.63
  6. Step 6: Final answer
    x = 81,129.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.