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Finding the Third Proportional to 22,884 and 26,232

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Solution

The third proportional to 22,884 and 26,232 is: 30,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884 : 26,232 = 26,232 : x
  2. Step 2: Convert to fraction form
    22,884/26,232 = 26,232/x
  3. Step 3: Cross multiply
    22,884x = 26,232 × 26,232
  4. Step 4: Simplify right side
    22,884x = 688,117,824
  5. Step 5: Solve for x
    x = 688,117,824/22,884
  6. Step 6: Final answer
    x = 30,069.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.