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Finding the Third Proportional to 11,402 and 25,207

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Solution

The third proportional to 11,402 and 25,207 is: 55,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402 : 25,207 = 25,207 : x
  2. Step 2: Convert to fraction form
    11,402/25,207 = 25,207/x
  3. Step 3: Cross multiply
    11,402x = 25,207 × 25,207
  4. Step 4: Simplify right side
    11,402x = 635,392,849
  5. Step 5: Solve for x
    x = 635,392,849/11,402
  6. Step 6: Final answer
    x = 55,726.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.