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Finding the Third Proportional to 16,292 and 35,257

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Solution

The third proportional to 16,292 and 35,257 is: 76,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292 : 35,257 = 35,257 : x
  2. Step 2: Convert to fraction form
    16,292/35,257 = 35,257/x
  3. Step 3: Cross multiply
    16,292x = 35,257 × 35,257
  4. Step 4: Simplify right side
    16,292x = 1,243,056,049
  5. Step 5: Solve for x
    x = 1,243,056,049/16,292
  6. Step 6: Final answer
    x = 76,298.55

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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.