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Finding the Third Proportional to 12,076 and 25,462

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Solution

The third proportional to 12,076 and 25,462 is: 53,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076 : 25,462 = 25,462 : x
  2. Step 2: Convert to fraction form
    12,076/25,462 = 25,462/x
  3. Step 3: Cross multiply
    12,076x = 25,462 × 25,462
  4. Step 4: Simplify right side
    12,076x = 648,313,444
  5. Step 5: Solve for x
    x = 648,313,444/12,076
  6. Step 6: Final answer
    x = 53,686.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.