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Finding the Third Proportional to 17,056 and 38,264

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Solution

The third proportional to 17,056 and 38,264 is: 85,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,056 : 38,264 = 38,264 : x
  2. Step 2: Convert to fraction form
    17,056/38,264 = 38,264/x
  3. Step 3: Cross multiply
    17,056x = 38,264 × 38,264
  4. Step 4: Simplify right side
    17,056x = 1,464,133,696
  5. Step 5: Solve for x
    x = 1,464,133,696/17,056
  6. Step 6: Final answer
    x = 85,842.74

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.