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Finding the Third Proportional to 17,323.24 and 37,106.86

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Solution

The third proportional to 17,323.24 and 37,106.86 is: 79,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,323.24 : 37,106.86 = 37,106.86 : x
  2. Step 2: Convert to fraction form
    17,323.24/37,106.86 = 37,106.86/x
  3. Step 3: Cross multiply
    17,323.24x = 37,106.86 × 37,106.86
  4. Step 4: Simplify right side
    17,323.24x = 1,376,919,012.68
  5. Step 5: Solve for x
    x = 1,376,919,012.68/17,323.24
  6. Step 6: Final answer
    x = 79,483.91

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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.