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Finding the Third Proportional to 18,971 and 28,453

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Solution

The third proportional to 18,971 and 28,453 is: 42,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,971 : 28,453 = 28,453 : x
  2. Step 2: Convert to fraction form
    18,971/28,453 = 28,453/x
  3. Step 3: Cross multiply
    18,971x = 28,453 × 28,453
  4. Step 4: Simplify right side
    18,971x = 809,573,209
  5. Step 5: Solve for x
    x = 809,573,209/18,971
  6. Step 6: Final answer
    x = 42,674.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.