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Finding the Third Proportional to 22,911 and 25,323

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Solution

The third proportional to 22,911 and 25,323 is: 27,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,911 : 25,323 = 25,323 : x
  2. Step 2: Convert to fraction form
    22,911/25,323 = 25,323/x
  3. Step 3: Cross multiply
    22,911x = 25,323 × 25,323
  4. Step 4: Simplify right side
    22,911x = 641,254,329
  5. Step 5: Solve for x
    x = 641,254,329/22,911
  6. Step 6: Final answer
    x = 27,988.93

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.