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Finding the Third Proportional to 17,277.63 and 37,681.63

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Solution

The third proportional to 17,277.63 and 37,681.63 is: 82,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277.63 : 37,681.63 = 37,681.63 : x
  2. Step 2: Convert to fraction form
    17,277.63/37,681.63 = 37,681.63/x
  3. Step 3: Cross multiply
    17,277.63x = 37,681.63 × 37,681.63
  4. Step 4: Simplify right side
    17,277.63x = 1,419,904,862.64
  5. Step 5: Solve for x
    x = 1,419,904,862.64/17,277.63
  6. Step 6: Final answer
    x = 82,181.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.