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Finding the Third Proportional to 17,681.63 and 36,799.31

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Solution

The third proportional to 17,681.63 and 36,799.31 is: 76,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.63 : 36,799.31 = 36,799.31 : x
  2. Step 2: Convert to fraction form
    17,681.63/36,799.31 = 36,799.31/x
  3. Step 3: Cross multiply
    17,681.63x = 36,799.31 × 36,799.31
  4. Step 4: Simplify right side
    17,681.63x = 1,354,189,400.47
  5. Step 5: Solve for x
    x = 1,354,189,400.47/17,681.63
  6. Step 6: Final answer
    x = 76,587.38

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.