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Finding the Third Proportional to 13,900 and 22,992

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Solution

The third proportional to 13,900 and 22,992 is: 38,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900 : 22,992 = 22,992 : x
  2. Step 2: Convert to fraction form
    13,900/22,992 = 22,992/x
  3. Step 3: Cross multiply
    13,900x = 22,992 × 22,992
  4. Step 4: Simplify right side
    13,900x = 528,632,064
  5. Step 5: Solve for x
    x = 528,632,064/13,900
  6. Step 6: Final answer
    x = 38,031.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.