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Finding the Third Proportional to 23,465 and 50,319

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Solution

The third proportional to 23,465 and 50,319 is: 107,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465 : 50,319 = 50,319 : x
  2. Step 2: Convert to fraction form
    23,465/50,319 = 50,319/x
  3. Step 3: Cross multiply
    23,465x = 50,319 × 50,319
  4. Step 4: Simplify right side
    23,465x = 2,532,001,761
  5. Step 5: Solve for x
    x = 2,532,001,761/23,465
  6. Step 6: Final answer
    x = 107,905.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.