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Finding the Third Proportional to 27,099 and 38,516

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Solution

The third proportional to 27,099 and 38,516 is: 54,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,099 : 38,516 = 38,516 : x
  2. Step 2: Convert to fraction form
    27,099/38,516 = 38,516/x
  3. Step 3: Cross multiply
    27,099x = 38,516 × 38,516
  4. Step 4: Simplify right side
    27,099x = 1,483,482,256
  5. Step 5: Solve for x
    x = 1,483,482,256/27,099
  6. Step 6: Final answer
    x = 54,743.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.