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Finding the Third Proportional to 17,389.69 and 37,862.44

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Solution

The third proportional to 17,389.69 and 37,862.44 is: 82,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,389.69 : 37,862.44 = 37,862.44 : x
  2. Step 2: Convert to fraction form
    17,389.69/37,862.44 = 37,862.44/x
  3. Step 3: Cross multiply
    17,389.69x = 37,862.44 × 37,862.44
  4. Step 4: Simplify right side
    17,389.69x = 1,433,564,173.44
  5. Step 5: Solve for x
    x = 1,433,564,173.44/17,389.69
  6. Step 6: Final answer
    x = 82,437.60

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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.