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Finding the Third Proportional to 13,165 and 29,246

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Solution

The third proportional to 13,165 and 29,246 is: 64,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165 : 29,246 = 29,246 : x
  2. Step 2: Convert to fraction form
    13,165/29,246 = 29,246/x
  3. Step 3: Cross multiply
    13,165x = 29,246 × 29,246
  4. Step 4: Simplify right side
    13,165x = 855,328,516
  5. Step 5: Solve for x
    x = 855,328,516/13,165
  6. Step 6: Final answer
    x = 64,969.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.