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Finding the Third Proportional to 26,324 and 50,222

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Solution

The third proportional to 26,324 and 50,222 is: 95,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,324 : 50,222 = 50,222 : x
  2. Step 2: Convert to fraction form
    26,324/50,222 = 50,222/x
  3. Step 3: Cross multiply
    26,324x = 50,222 × 50,222
  4. Step 4: Simplify right side
    26,324x = 2,522,249,284
  5. Step 5: Solve for x
    x = 2,522,249,284/26,324
  6. Step 6: Final answer
    x = 95,815.58

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.