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Finding the Third Proportional to 18,364 and 26,232

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Solution

The third proportional to 18,364 and 26,232 is: 37,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,364 : 26,232 = 26,232 : x
  2. Step 2: Convert to fraction form
    18,364/26,232 = 26,232/x
  3. Step 3: Cross multiply
    18,364x = 26,232 × 26,232
  4. Step 4: Simplify right side
    18,364x = 688,117,824
  5. Step 5: Solve for x
    x = 688,117,824/18,364
  6. Step 6: Final answer
    x = 37,471.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.