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Finding the Third Proportional to 20,466 and 23,917.50

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Solution

The third proportional to 20,466 and 23,917.50 is: 27,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,466 : 23,917.50 = 23,917.50 : x
  2. Step 2: Convert to fraction form
    20,466/23,917.50 = 23,917.50/x
  3. Step 3: Cross multiply
    20,466x = 23,917.50 × 23,917.50
  4. Step 4: Simplify right side
    20,466x = 572,046,806.25
  5. Step 5: Solve for x
    x = 572,046,806.25/20,466
  6. Step 6: Final answer
    x = 27,951.08

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.