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Finding the Third Proportional to 13,246 and 32,911

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Solution

The third proportional to 13,246 and 32,911 is: 81,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246 : 32,911 = 32,911 : x
  2. Step 2: Convert to fraction form
    13,246/32,911 = 32,911/x
  3. Step 3: Cross multiply
    13,246x = 32,911 × 32,911
  4. Step 4: Simplify right side
    13,246x = 1,083,133,921
  5. Step 5: Solve for x
    x = 1,083,133,921/13,246
  6. Step 6: Final answer
    x = 81,770.64

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.