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Finding the Third Proportional to 20,068 and 22,984

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Solution

The third proportional to 20,068 and 22,984 is: 26,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,068 : 22,984 = 22,984 : x
  2. Step 2: Convert to fraction form
    20,068/22,984 = 22,984/x
  3. Step 3: Cross multiply
    20,068x = 22,984 × 22,984
  4. Step 4: Simplify right side
    20,068x = 528,264,256
  5. Step 5: Solve for x
    x = 528,264,256/20,068
  6. Step 6: Final answer
    x = 26,323.71

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.