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Finding the Third Proportional to 19,085 and 41,347

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Solution

The third proportional to 19,085 and 41,347 is: 89,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,085 : 41,347 = 41,347 : x
  2. Step 2: Convert to fraction form
    19,085/41,347 = 41,347/x
  3. Step 3: Cross multiply
    19,085x = 41,347 × 41,347
  4. Step 4: Simplify right side
    19,085x = 1,709,574,409
  5. Step 5: Solve for x
    x = 1,709,574,409/19,085
  6. Step 6: Final answer
    x = 89,576.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.