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Finding the Third Proportional to 12,201 and 25,359

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Solution

The third proportional to 12,201 and 25,359 is: 52,707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201 : 25,359 = 25,359 : x
  2. Step 2: Convert to fraction form
    12,201/25,359 = 25,359/x
  3. Step 3: Cross multiply
    12,201x = 25,359 × 25,359
  4. Step 4: Simplify right side
    12,201x = 643,078,881
  5. Step 5: Solve for x
    x = 643,078,881/12,201
  6. Step 6: Final answer
    x = 52,707.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.