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Finding the Third Proportional to 11,685 and 25,254

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Solution

The third proportional to 11,685 and 25,254 is: 54,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685 : 25,254 = 25,254 : x
  2. Step 2: Convert to fraction form
    11,685/25,254 = 25,254/x
  3. Step 3: Cross multiply
    11,685x = 25,254 × 25,254
  4. Step 4: Simplify right side
    11,685x = 637,764,516
  5. Step 5: Solve for x
    x = 637,764,516/11,685
  6. Step 6: Final answer
    x = 54,579.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.