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Finding the Third Proportional to 23,835 and 50,943

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Solution

The third proportional to 23,835 and 50,943 is: 108,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835 : 50,943 = 50,943 : x
  2. Step 2: Convert to fraction form
    23,835/50,943 = 50,943/x
  3. Step 3: Cross multiply
    23,835x = 50,943 × 50,943
  4. Step 4: Simplify right side
    23,835x = 2,595,189,249
  5. Step 5: Solve for x
    x = 2,595,189,249/23,835
  6. Step 6: Final answer
    x = 108,881.45

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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.