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Finding the Third Proportional to 10,657 and 23,257

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Solution

The third proportional to 10,657 and 23,257 is: 50,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657 : 23,257 = 23,257 : x
  2. Step 2: Convert to fraction form
    10,657/23,257 = 23,257/x
  3. Step 3: Cross multiply
    10,657x = 23,257 × 23,257
  4. Step 4: Simplify right side
    10,657x = 540,888,049
  5. Step 5: Solve for x
    x = 540,888,049/10,657
  6. Step 6: Final answer
    x = 50,754.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.