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Finding the Third Proportional to 13,246 and 27,581

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Solution

The third proportional to 13,246 and 27,581 is: 57,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,246 : 27,581 = 27,581 : x
  2. Step 2: Convert to fraction form
    13,246/27,581 = 27,581/x
  3. Step 3: Cross multiply
    13,246x = 27,581 × 27,581
  4. Step 4: Simplify right side
    13,246x = 760,711,561
  5. Step 5: Solve for x
    x = 760,711,561/13,246
  6. Step 6: Final answer
    x = 57,429.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.