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Finding the Third Proportional to 23,319 and 50,323

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Solution

The third proportional to 23,319 and 50,323 is: 108,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,319 : 50,323 = 50,323 : x
  2. Step 2: Convert to fraction form
    23,319/50,323 = 50,323/x
  3. Step 3: Cross multiply
    23,319x = 50,323 × 50,323
  4. Step 4: Simplify right side
    23,319x = 2,532,404,329
  5. Step 5: Solve for x
    x = 2,532,404,329/23,319
  6. Step 6: Final answer
    x = 108,598.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.