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Finding the Third Proportional to 11,545 and 25,243

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Solution

The third proportional to 11,545 and 25,243 is: 55,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545 : 25,243 = 25,243 : x
  2. Step 2: Convert to fraction form
    11,545/25,243 = 25,243/x
  3. Step 3: Cross multiply
    11,545x = 25,243 × 25,243
  4. Step 4: Simplify right side
    11,545x = 637,209,049
  5. Step 5: Solve for x
    x = 637,209,049/11,545
  6. Step 6: Final answer
    x = 55,193.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.