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Finding the Third Proportional to 18,497 and 28,461

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Solution

The third proportional to 18,497 and 28,461 is: 43,792.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497 : 28,461 = 28,461 : x
  2. Step 2: Convert to fraction form
    18,497/28,461 = 28,461/x
  3. Step 3: Cross multiply
    18,497x = 28,461 × 28,461
  4. Step 4: Simplify right side
    18,497x = 810,028,521
  5. Step 5: Solve for x
    x = 810,028,521/18,497
  6. Step 6: Final answer
    x = 43,792.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.