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Finding the Third Proportional to 17,246 and 37,309

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Solution

The third proportional to 17,246 and 37,309 is: 80,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,246 : 37,309 = 37,309 : x
  2. Step 2: Convert to fraction form
    17,246/37,309 = 37,309/x
  3. Step 3: Cross multiply
    17,246x = 37,309 × 37,309
  4. Step 4: Simplify right side
    17,246x = 1,391,961,481
  5. Step 5: Solve for x
    x = 1,391,961,481/17,246
  6. Step 6: Final answer
    x = 80,712.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.