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Finding the Third Proportional to 35,214 and 47,961

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Solution

The third proportional to 35,214 and 47,961 is: 65,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,214 : 47,961 = 47,961 : x
  2. Step 2: Convert to fraction form
    35,214/47,961 = 47,961/x
  3. Step 3: Cross multiply
    35,214x = 47,961 × 47,961
  4. Step 4: Simplify right side
    35,214x = 2,300,257,521
  5. Step 5: Solve for x
    x = 2,300,257,521/35,214
  6. Step 6: Final answer
    x = 65,322.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.