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Finding the Third Proportional to 17,234 and 37,854

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Solution

The third proportional to 17,234 and 37,854 is: 83,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234 : 37,854 = 37,854 : x
  2. Step 2: Convert to fraction form
    17,234/37,854 = 37,854/x
  3. Step 3: Cross multiply
    17,234x = 37,854 × 37,854
  4. Step 4: Simplify right side
    17,234x = 1,432,925,316
  5. Step 5: Solve for x
    x = 1,432,925,316/17,234
  6. Step 6: Final answer
    x = 83,145.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.