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Finding the Third Proportional to 25,246 and 35,309

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Solution

The third proportional to 25,246 and 35,309 is: 49,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,246 : 35,309 = 35,309 : x
  2. Step 2: Convert to fraction form
    25,246/35,309 = 35,309/x
  3. Step 3: Cross multiply
    25,246x = 35,309 × 35,309
  4. Step 4: Simplify right side
    25,246x = 1,246,725,481
  5. Step 5: Solve for x
    x = 1,246,725,481/25,246
  6. Step 6: Final answer
    x = 49,383.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.