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Finding the Third Proportional to 18,623 and 28,967

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Solution

The third proportional to 18,623 and 28,967 is: 45,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,623 : 28,967 = 28,967 : x
  2. Step 2: Convert to fraction form
    18,623/28,967 = 28,967/x
  3. Step 3: Cross multiply
    18,623x = 28,967 × 28,967
  4. Step 4: Simplify right side
    18,623x = 839,087,089
  5. Step 5: Solve for x
    x = 839,087,089/18,623
  6. Step 6: Final answer
    x = 45,056.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.