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Finding the Third Proportional to 17,646.19 and 37,848.94

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Solution

The third proportional to 17,646.19 and 37,848.94 is: 81,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.19 : 37,848.94 = 37,848.94 : x
  2. Step 2: Convert to fraction form
    17,646.19/37,848.94 = 37,848.94/x
  3. Step 3: Cross multiply
    17,646.19x = 37,848.94 × 37,848.94
  4. Step 4: Simplify right side
    17,646.19x = 1,432,542,069.88
  5. Step 5: Solve for x
    x = 1,432,542,069.88/17,646.19
  6. Step 6: Final answer
    x = 81,181.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.