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Finding the Third Proportional to 10,257 and 11,733

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Solution

The third proportional to 10,257 and 11,733 is: 13,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257 : 11,733 = 11,733 : x
  2. Step 2: Convert to fraction form
    10,257/11,733 = 11,733/x
  3. Step 3: Cross multiply
    10,257x = 11,733 × 11,733
  4. Step 4: Simplify right side
    10,257x = 137,663,289
  5. Step 5: Solve for x
    x = 137,663,289/10,257
  6. Step 6: Final answer
    x = 13,421.40

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.