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Finding the Third Proportional to 47,876 and 74,550

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Solution

The third proportional to 47,876 and 74,550 is: 116,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,876 : 74,550 = 74,550 : x
  2. Step 2: Convert to fraction form
    47,876/74,550 = 74,550/x
  3. Step 3: Cross multiply
    47,876x = 74,550 × 74,550
  4. Step 4: Simplify right side
    47,876x = 5,557,702,500
  5. Step 5: Solve for x
    x = 5,557,702,500/47,876
  6. Step 6: Final answer
    x = 116,085.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.