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Finding the Third Proportional to 13,003 and 22,967

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Solution

The third proportional to 13,003 and 22,967 is: 40,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003 : 22,967 = 22,967 : x
  2. Step 2: Convert to fraction form
    13,003/22,967 = 22,967/x
  3. Step 3: Cross multiply
    13,003x = 22,967 × 22,967
  4. Step 4: Simplify right side
    13,003x = 527,483,089
  5. Step 5: Solve for x
    x = 527,483,089/13,003
  6. Step 6: Final answer
    x = 40,566.26

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.