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Finding the Third Proportional to 17,458.50 and 37,707

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Solution

The third proportional to 17,458.50 and 37,707 is: 81,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.50 : 37,707 = 37,707 : x
  2. Step 2: Convert to fraction form
    17,458.50/37,707 = 37,707/x
  3. Step 3: Cross multiply
    17,458.50x = 37,707 × 37,707
  4. Step 4: Simplify right side
    17,458.50x = 1,421,817,849
  5. Step 5: Solve for x
    x = 1,421,817,849/17,458.50
  6. Step 6: Final answer
    x = 81,439.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.