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Finding the Third Proportional to 18,980 and 28,364

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Solution

The third proportional to 18,980 and 28,364 is: 42,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,980 : 28,364 = 28,364 : x
  2. Step 2: Convert to fraction form
    18,980/28,364 = 28,364/x
  3. Step 3: Cross multiply
    18,980x = 28,364 × 28,364
  4. Step 4: Simplify right side
    18,980x = 804,516,496
  5. Step 5: Solve for x
    x = 804,516,496/18,980
  6. Step 6: Final answer
    x = 42,387.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.